Optimal Control of Dynamic Systems Driven by Vector Measures

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Publisher : Springer Nature
ISBN 13 : 3030821390
Total Pages : 328 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Optimal Control of Dynamic Systems Driven by Vector Measures by : N. U. Ahmed

Download or read book Optimal Control of Dynamic Systems Driven by Vector Measures written by N. U. Ahmed and published by Springer Nature. This book was released on 2021-09-13 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the development of optimal control theory for finite dimensional systems governed by deterministic and stochastic differential equations driven by vector measures. The book deals with a broad class of controls, including regular controls (vector-valued measurable functions), relaxed controls (measure-valued functions) and controls determined by vector measures, where both fully and partially observed control problems are considered. In the past few decades, there have been remarkable advances in the field of systems and control theory thanks to the unprecedented interaction between mathematics and the physical and engineering sciences. Recently, optimal control theory for dynamic systems driven by vector measures has attracted increasing interest. This book presents this theory for dynamic systems governed by both ordinary and stochastic differential equations, including extensive results on the existence of optimal controls and necessary conditions for optimality. Computational algorithms are developed based on the optimality conditions, with numerical results presented to demonstrate the applicability of the theoretical results developed in the book. This book will be of interest to researchers in optimal control or applied functional analysis interested in applications of vector measures to control theory, stochastic systems driven by vector measures, and related topics. In particular, this self-contained account can be a starting point for further advances in the theory and applications of dynamic systems driven and controlled by vector measures.

Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control

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Publisher : Springer Nature
ISBN 13 : 3031372603
Total Pages : 236 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control by : N. U. Ahmed

Download or read book Measure-Valued Solutions for Nonlinear Evolution Equations on Banach Spaces and Their Optimal Control written by N. U. Ahmed and published by Springer Nature. This book was released on 2023-09-12 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers the first comprehensive presentation of measure-valued solutions for nonlinear deterministic and stochastic evolution equations on infinite dimensional Banach spaces. Unlike traditional solutions, measure-valued solutions allow for a much broader class of abstract evolution equations to be addressed, providing a broader approach. The book presents extensive results on the existence of measure-valued solutions for differential equations that have no solutions in the usual sense. It covers a range of topics, including evolution equations with continuous/discontinuous vector fields, neutral evolution equations subject to vector measures as impulsive forces, stochastic evolution equations, and optimal control of evolution equations. The optimal control problems considered cover the existence of solutions, necessary conditions of optimality, and more, significantly complementing the existing literature. This book will be of great interest to researchers in functional analysis, partial differential equations, dynamic systems and their optimal control, and their applications, advancing previous research and providing a foundation for further exploration of the field.

Turnpike Conditions in Infinite Dimensional Optimal Control

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Publisher : Springer
ISBN 13 : 3030201783
Total Pages : 578 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis Turnpike Conditions in Infinite Dimensional Optimal Control by : Alexander J. Zaslavski

Download or read book Turnpike Conditions in Infinite Dimensional Optimal Control written by Alexander J. Zaslavski and published by Springer. This book was released on 2019-07-23 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from finite-dimensional variational problems and discrete-time optimal control problems to find the necessary conditions for the turnpike phenomenon in infinite dimensional spaces. The semigroup approach is employed in the discussion as well as PDE descriptions of continuous-time dynamics. The main results on sufficient and necessary conditions for the turnpike property are completely proved and the numerous illustrative examples support the material for the broad spectrum of experts. Mathematicians interested in the calculus of variations, optimal control and in applied functional analysis will find this book a useful guide to the turnpike phenomenon in infinite dimensional spaces. Experts in economic and engineering modeling as well as graduate students will also benefit from the developed techniques and obtained results.

Emerging Networking in the Digital Transformation Age

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Publisher : Springer Nature
ISBN 13 : 3031249631
Total Pages : 694 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Emerging Networking in the Digital Transformation Age by : Mikhailo Klymash

Download or read book Emerging Networking in the Digital Transformation Age written by Mikhailo Klymash and published by Springer Nature. This book was released on 2023-03-20 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers a range of leading-edge topics. It is suitable for teaching specialists for advanced lectures in the domains of systems architecture and distributed platforms. Furthermore, it serves as a basis for undergraduates as well as an inspiration for interesting postgraduates, looking for new challenges. It addresses a holistic view of QoS, which becomes nowadays via Digital Transformations less technically and more socially driven. This includes IoT, energy efficiency, secure transactions, blockchains, and smart contracting. Under the term Emerging Networking (EmN), we cover the steadily growing diversity of smart mobile and robotic apps and unmanned scenarios (UAV). EmN supports distributed intelligence across the combined mobile, wireless, and fixed networks in the edge-to-cloud continuum. The 6G driving factors and potentials in the mid-term are examined. Operative (emergency) networking, which assists rescue troops at sites, also belongs to the above-mentioned problems. The EmN architecture includes the components of SDN, blockchain, and AI with efficient slicing and cloud support. The design peculiarities in dynamically changing domains, such as Smart Shopping/Office/Home, Context-Sensitive Intelligent apps, are discussed. Altogether, the provided content is technically interesting while still being rather practically oriented and therefore straightforward to understand. This book originated from the close cooperation of scientists from Germany, Ukraine, Israel, Switzerland, Slovak Republic, Poland, Czech Republic, South Korea, China, Italy, North Macedonia, Azerbaijan, Kazakhstan, France, Latvia, Greece, Romania, USA, Finland, Morocco, Ireland, and the United Kingdom. We wish all readers success and lots of inspiration from this useful book!

Turnpike Phenomenon in Metric Spaces

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Publisher : Springer Nature
ISBN 13 : 3031272080
Total Pages : 366 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis Turnpike Phenomenon in Metric Spaces by : Alexander J. Zaslavski

Download or read book Turnpike Phenomenon in Metric Spaces written by Alexander J. Zaslavski and published by Springer Nature. This book was released on 2023-04-17 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the study of the turnpike phenomenon arising in optimal control theory. Special focus is placed on Turnpike results, in sufficient and necessary conditions for the turnpike phenomenon and in its stability under small perturbations of objective functions. The most important feature of this book is that it develops a large, general class of optimal control problems in metric space. Additional value is in the provision of solutions to a number of difficult and interesting problems in optimal control theory in metric spaces. Mathematicians working in optimal control, optimization, and experts in applications of optimal control to economics and engineering, will find this book particularly useful. All main results obtained in the book are new. The monograph contains nine chapters. Chapter 1 is an introduction. Chapter 2 discusses Banach space valued functions, set-valued mappings in infinite dimensional spaces, and related continuous-time dynamical systems. Some convergence results are obtained. In Chapter 3, a discrete-time dynamical system with a Lyapunov function in a metric space induced by a set-valued mapping, is studied. Chapter 4 is devoted to the study of a class of continuous-time dynamical systems, an analog of the class of discrete-time dynamical systems considered in Chapter 3. Chapter 5 develops a turnpike theory for a class of general dynamical systems in a metric space with a Lyapunov function. Chapter 6 contains a study of the turnpike phenomenon for discrete-time nonautonomous problems on subintervals of half-axis in metric spaces, which are not necessarily compact. Chapter 7 contains preliminaries which are needed in order to study turnpike properties of infinite-dimensional optimal control problems. In Chapter 8, sufficient and necessary conditions for the turnpike phenomenon for continuous-time optimal control problems on subintervals of the half-axis in metric spaces, is established. In Chapter 9, the examination continues of the turnpike phenomenon for the continuous-time optimal control problems on subintervals of half-axis in metric spaces discussed in Chapter 8.

Turnpike Phenomenon and Symmetric Optimization Problems

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Publisher : Springer Nature
ISBN 13 : 3030969738
Total Pages : 339 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Turnpike Phenomenon and Symmetric Optimization Problems by : Alexander J. Zaslavski

Download or read book Turnpike Phenomenon and Symmetric Optimization Problems written by Alexander J. Zaslavski and published by Springer Nature. This book was released on 2022-04-11 with total page 339 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by a leading expert in turnpike phenomenon, this book is devoted to the study of symmetric optimization, variational and optimal control problems in infinite dimensional spaces and turnpike properties of their approximate solutions. The book presents a systematic and comprehensive study of general classes of problems in optimization, calculus of variations, and optimal control with symmetric structures from the viewpoint of the turnpike phenomenon. The author establishes generic existence and well-posedness results for optimization problems and individual (not generic) turnpike results for variational and optimal control problems. Rich in impressive theoretical results, the author presents applications to crystallography and discrete dispersive dynamical systems which have prototypes in economic growth theory. This book will be useful for researchers interested in optimal control, calculus of variations turnpike theory and their applications, such as mathematicians, mathematical economists, and researchers in crystallography, to name just a few.

Optimal Event-Triggered Control Using Adaptive Dynamic Programming

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Publisher : CRC Press
ISBN 13 : 1040049168
Total Pages : 348 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Optimal Event-Triggered Control Using Adaptive Dynamic Programming by : Sarangapani Jagannathan

Download or read book Optimal Event-Triggered Control Using Adaptive Dynamic Programming written by Sarangapani Jagannathan and published by CRC Press. This book was released on 2024-06-21 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Event-triggered Control using Adaptive Dynamic Programming discusses event triggered controller design which includes optimal control and event sampling design for linear and nonlinear dynamic systems including networked control systems (NCS) when the system dynamics are both known and uncertain. The NCS are a first step to realize cyber-physical systems (CPS) or industry 4.0 vision. The authors apply several powerful modern control techniques to the design of event-triggered controllers and derive event-trigger condition and demonstrate closed-loop stability. Detailed derivations, rigorous stability proofs, computer simulation examples, and downloadable MATLAB® codes are included for each case. The book begins by providing background on linear and nonlinear systems, NCS, networked imperfections, distributed systems, adaptive dynamic programming and optimal control, stability theory, and optimal adaptive event-triggered controller design in continuous-time and discrete-time for linear, nonlinear and distributed systems. It lays the foundation for reinforcement learning-based optimal adaptive controller use for infinite horizons. The text then: Introduces event triggered control of linear and nonlinear systems, describing the design of adaptive controllers for them Presents neural network-based optimal adaptive control and game theoretic formulation of linear and nonlinear systems enclosed by a communication network Addresses the stochastic optimal control of linear and nonlinear NCS by using neuro dynamic programming Explores optimal adaptive design for nonlinear two-player zero-sum games under communication constraints to solve optimal policy and event trigger condition Treats an event-sampled distributed linear and nonlinear systems to minimize transmission of state and control signals within the feedback loop via the communication network Covers several examples along the way and provides applications of event triggered control of robot manipulators, UAV and distributed joint optimal network scheduling and control design for wireless NCS/CPS in order to realize industry 4.0 vision An ideal textbook for senior undergraduate students, graduate students, university researchers, and practicing engineers, Optimal Event Triggered Control Design using Adaptive Dynamic Programming instills a solid understanding of neural network-based optimal controllers under event-sampling and how to build them so as to attain CPS or Industry 4.0 vision.

Dynamic Systems And Control With Applications

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Publisher : World Scientific Publishing Company
ISBN 13 : 9813106824
Total Pages : 468 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Dynamic Systems And Control With Applications by : Nasir Uddin Ahmed

Download or read book Dynamic Systems And Control With Applications written by Nasir Uddin Ahmed and published by World Scientific Publishing Company. This book was released on 2006-08-29 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years significant applications of systems and control theory have been witnessed in diversed areas such as physical sciences, social sciences, engineering, management and finance. In particular the most interesting applications have taken place in areas such as aerospace, buildings and space structure, suspension bridges, artificial heart, chemotherapy, power system, hydrodynamics and computer communication networks. There are many prominent areas of systems and control theory that include systems governed by linear and nonlinear ordinary differential equations, systems governed by partial differential equations including their stochastic counter parts and, above all, systems governed by abstract differential and functional differential equations and inclusions on Banach spaces, including their stochastic counterparts. The objective of this book is to present a small segment of theory and applications of systems and control governed by ordinary differential equations and inclusions. It is expected that any reader who has absorbed the materials presented here would have no difficulty to reach the core of current research.

Informatics in Control, Automation and Robotics

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Publisher : Springer
ISBN 13 : 3030112926
Total Pages : 827 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Informatics in Control, Automation and Robotics by : Oleg Gusikhin

Download or read book Informatics in Control, Automation and Robotics written by Oleg Gusikhin and published by Springer. This book was released on 2019-04-18 with total page 827 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book focuses the latest endeavours relating researches and developments conducted in fields of Control, Robotics and Automation. Through more than twenty revised and extended articles, the present book aims to provide the most up-to-date state-of-art of the aforementioned fields allowing researcher, PhD students and engineers not only updating their knowledge but also benefiting from the source of inspiration that represents the set of selected articles of the book. The deliberate intention of editors to cover as well theoretical facets of those fields as their practical accomplishments and implementations offers the benefit of gathering in a same volume a factual and well-balanced prospect of nowadays research in those topics. A special attention toward “Intelligent Robots and Control” may characterize another benefit of this book.

Optimization of Dynamical Systems with Impulse Controls and Shocks

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Publisher : Springer Nature
ISBN 13 : 3031641248
Total Pages : 632 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Optimization of Dynamical Systems with Impulse Controls and Shocks by : Boris Miller

Download or read book Optimization of Dynamical Systems with Impulse Controls and Shocks written by Boris Miller and published by Springer Nature. This book was released on with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Control and Dynamic Systems V16

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Publisher : Elsevier
ISBN 13 : 0323152627
Total Pages : 390 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Control and Dynamic Systems V16 by : C.T. Leonides

Download or read book Control and Dynamic Systems V16 written by C.T. Leonides and published by Elsevier. This book was released on 2012-12-02 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Application, Volume 16 is concerned with applied dynamic systems control techniques. It describes various techniques for system modeling, which apply to several systems issues. This book presents a comprehensive treatment of powerful algorithmic techniques for solving dynamic-system optimization problems. It also describes approaches for systems model that apply to system issues such as time delays. The remaining chapters of this book explore the simulation of large closed-loop systems and optimization of low-order feedback controllers for discrete-time systems. Researchers who wish to broaden their understanding of dynamic systems control techniques will find this book invaluable.

Health Assessment Of Engineered Structures: Bridges, Buildings And Other Infrastructures

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Publisher : World Scientific
ISBN 13 : 9814439037
Total Pages : 352 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Health Assessment Of Engineered Structures: Bridges, Buildings And Other Infrastructures by : Achintya Haldar

Download or read book Health Assessment Of Engineered Structures: Bridges, Buildings And Other Infrastructures written by Achintya Haldar and published by World Scientific. This book was released on 2013-05-08 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Health Assessment of Engineered Structures has become one of the most active research areas and has attracted multi-disciplinary interest. Since available financial recourses are very limited, extending the lifespan of existing bridges, buildings and other infrastructures has become a major challenge to the engineering profession world-wide. Some of its related areas are only in their development phase. As the study of structural health assessment matures, more new areas are being identified to complement the concept.This book covers some of the most recent developments (theoretical and experimental) and application potentials in structural health assessment. It is designed to present currently available information in an organised form to interested parties who are not experts in the subject.Each chapter is authored by the most active scholar(s) in the area. After discussing the general concept, various currently available methods of structural health assessment (such as the use of smart sensors) are presented. Health Assessment discusses the following: sensor types, platforms and data conditioning for practical applications; wireless collection of sensor data, sensor power needs and on-site energy harvesting; and long term monitoring of structures. Uncertainty in collected data is also extensively addressed. A chapter discussing future directions in structural health assessment is also included.

Optimal Impulsive Control

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Publisher : Springer
ISBN 13 : 3030022609
Total Pages : 197 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Optimal Impulsive Control by : Aram Arutyunov

Download or read book Optimal Impulsive Control written by Aram Arutyunov and published by Springer. This book was released on 2018-12-17 with total page 197 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimal Impulsive Control explores the class of impulsive dynamic optimization problems—problems that stem from the fact that many conventional optimal control problems do not have a solution in the classical setting—which is highly relevant with regard to engineering applications. The absence of a classical solution naturally invokes the so-called extension, or relaxation, of a problem, and leads to the notion of generalized solution which encompasses the notions of generalized control and trajectory; in this book several extensions of optimal control problems are considered within the framework of optimal impulsive control theory. In this framework, the feasible arcs are permitted to have jumps, while the conventional absolutely continuous trajectories may fail to exist. The authors draw together various types of their own results, centered on the necessary conditions of optimality in the form of Pontryagin’s maximum principle and the existence theorems, which shape a substantial body of optimal impulsive control theory. At the same time, they present optimal impulsive control theory in a unified framework, introducing the different paradigmatic problems in increasing order of complexity. The rationale underlying the book involves addressing extensions increasing in complexity from the simplest case provided by linear control systems and ending with the most general case of a totally nonlinear differential control system with state constraints. The mathematical models presented in Optimal Impulsive Control being encountered in various engineering applications, this book will be of interest to both academic researchers and practising engineers.

Duality System in Applied Mechanics and Optimal Control

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Publisher : Springer Science & Business Media
ISBN 13 : 1402078811
Total Pages : 467 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Duality System in Applied Mechanics and Optimal Control by : Wan-Xie Zhong

Download or read book Duality System in Applied Mechanics and Optimal Control written by Wan-Xie Zhong and published by Springer Science & Business Media. This book was released on 2006-04-11 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: A unified approach is proposed for applied mechanics and optimal control theory. The Hamilton system methodology in analytical mechanics is used for eigenvalue problems, vibration theory, gyroscopic systems, structural mechanics, wave-guide, LQ control, Kalman filter, robust control etc. All aspects are described in the same unified methodology. Numerical methods for all these problems are provided and given in meta-language, which can be implemented easily on the computer. Precise integration methods both for initial value problems and for two-point boundary value problems are proposed, which result in the numerical solutions of computer precision. Key Features of the text include: -Unified approach based on Hamilton duality system theory and symplectic mathematics. -Gyroscopic system vibration, eigenvalue problems. -Canonical transformation applied to non-linear systems. -Pseudo-excitation method for structural random vibrations. -Precise integration of two-point boundary value problems. -Wave propagation along wave-guides, scattering. -Precise solution of Riccati differential equations. -Kalman filtering. -HINFINITY theory of control and filter.

Applied and Computational Optimal Control

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Publisher : Springer Nature
ISBN 13 : 3030699137
Total Pages : 581 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Applied and Computational Optimal Control by : Kok Lay Teo

Download or read book Applied and Computational Optimal Control written by Kok Lay Teo and published by Springer Nature. This book was released on 2021-05-24 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to furnish the reader with a rigorous and detailed exposition of the concept of control parametrization and time scaling transformation. It presents computational solution techniques for a special class of constrained optimal control problems as well as applications to some practical examples. The book may be considered an extension of the 1991 monograph A Unified Computational Approach Optimal Control Problems, by K.L. Teo, C.J. Goh, and K.H. Wong. This publication discusses the development of new theory and computational methods for solving various optimal control problems numerically and in a unified fashion. To keep the book accessible and uniform, it includes those results developed by the authors, their students, and their past and present collaborators. A brief review of methods that are not covered in this exposition, is also included. Knowledge gained from this book may inspire advancement of new techniques to solve complex problems that arise in the future. This book is intended as reference for researchers in mathematics, engineering, and other sciences, graduate students and practitioners who apply optimal control methods in their work. It may be appropriate reading material for a graduate level seminar or as a text for a course in optimal control.

Optimal Control Theory

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Publisher : Courier Corporation
ISBN 13 : 0486135071
Total Pages : 466 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Optimal Control Theory by : Donald E. Kirk

Download or read book Optimal Control Theory written by Donald E. Kirk and published by Courier Corporation. This book was released on 2012-04-26 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: Upper-level undergraduate text introduces aspects of optimal control theory: dynamic programming, Pontryagin's minimum principle, and numerical techniques for trajectory optimization. Numerous figures, tables. Solution guide available upon request. 1970 edition.

Applied Mechanics Reviews

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Publisher :
ISBN 13 :
Total Pages : 742 pages
Book Rating : 4.:/5 (26 download)

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Book Synopsis Applied Mechanics Reviews by :

Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1967 with total page 742 pages. Available in PDF, EPUB and Kindle. Book excerpt: