Distributed Order Dynamic Systems

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Distributed-Order Dynamic Systems

Author : Zhuang Jiao
Publisher : Springer Science & Business Media
ISBN 13 : 1447128524
Total Pages : 98 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Distributed-Order Dynamic Systems by : Zhuang Jiao

Download or read book Distributed-Order Dynamic Systems written by Zhuang Jiao and published by Springer Science & Business Media. This book was released on 2012-02-24 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass–spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.

Distributed-Order Dynamic Systems

Author : Zhuang Jiao
Publisher : Springer Science & Business Media
ISBN 13 : 1447128516
Total Pages : 98 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Distributed-Order Dynamic Systems by : Zhuang Jiao

Download or read book Distributed-Order Dynamic Systems written by Zhuang Jiao and published by Springer Science & Business Media. This book was released on 2012-02-26 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Distributed-order differential equations, a generalization of fractional calculus, are of increasing importance in many fields of science and engineering from the behaviour of complex dielectric media to the modelling of nonlinear systems. This Brief will broaden the toolbox available to researchers interested in modeling, analysis, control and filtering. It contains contextual material outlining the progression from integer-order, through fractional-order to distributed-order systems. Stability issues are addressed with graphical and numerical results highlighting the fundamental differences between constant-, integer-, and distributed-order treatments. The power of the distributed-order model is demonstrated with work on the stability of noncommensurate-order linear time-invariant systems. Generic applications of the distributed-order operator follow: signal processing and viscoelastic damping of a mass–spring set up. A new general approach to discretization of distributed-order derivatives and integrals is described. The Brief is rounded out with a consideration of likely future research and applications and with a number of MATLAB® codes to reduce repetitive coding tasks and encourage new workers in distributed-order systems.

Nonlinear Differential Equations and Dynamical Systems

Author : Feliz Manuel Minhós
Publisher : MDPI
ISBN 13 : 3036507108
Total Pages : 158 pages
Book Rating : 4.0/5 (365 download)

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Book Synopsis Nonlinear Differential Equations and Dynamical Systems by : Feliz Manuel Minhós

Download or read book Nonlinear Differential Equations and Dynamical Systems written by Feliz Manuel Minhós and published by MDPI. This book was released on 2021-04-15 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Special Edition contains new results on Differential and Integral Equations and Systems, covering higher-order Initial and Boundary Value Problems, fractional differential and integral equations and applications, non-local optimal control, inverse, and higher-order nonlinear boundary value problems, distributional solutions in the form of a finite series of the Dirac delta function and its derivatives, asymptotic properties’ oscillatory theory for neutral nonlinear differential equations, the existence of extremal solutions via monotone iterative techniques, predator–prey interaction via fractional-order models, among others. Our main goal is not only to show new trends in this field but also to showcase and provide new methods and techniques that can lead to future research.

Mathematical Techniques of Fractional Order Systems

Author : Ahmad Taher Azar
Publisher : Elsevier
ISBN 13 : 012813593X
Total Pages : 702 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Mathematical Techniques of Fractional Order Systems by : Ahmad Taher Azar

Download or read book Mathematical Techniques of Fractional Order Systems written by Ahmad Taher Azar and published by Elsevier. This book was released on 2018-06-11 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Techniques of Fractional Order Systems illustrates advances in linear and nonlinear fractional-order systems relating to many interdisciplinary applications, including biomedical, control, circuits, electromagnetics and security. The book covers the mathematical background and literature survey of fractional-order calculus and generalized fractional-order circuit theorems from different perspectives in design, analysis and realizations, nonlinear fractional-order circuits and systems, the fractional-order memristive circuits and systems in design, analysis, emulators, simulation and experimental results. It is primarily meant for researchers from academia and industry, and for those working in areas such as control engineering, electrical engineering, computer science and information technology. This book is ideal for researchers working in the area of both continuous-time and discrete-time dynamics and chaotic systems. - Discusses multidisciplinary applications with new fundamentals, modeling, analysis, design, realization and experimental results - Includes circuits and systems based on new nonlinear elements - Covers most of the linear and nonlinear fractional-order theorems that will solve many scientific issues for researchers - Closes the gap between theoretical approaches and real-world applications - Provides MATLAB® and Simulink code for many applications in the book

Applications in Control

Author : Ivo Petráš
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110571749
Total Pages : 436 pages
Book Rating : 4.1/5 (15 download)

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Book Synopsis Applications in Control by : Ivo Petráš

Download or read book Applications in Control written by Ivo Petráš and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-02-19 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This multi-volume handbook is the most up-to-date and comprehensive reference work in the field of fractional calculus and its numerous applications. This sixth volume collects authoritative chapters covering several applications of fractional calculus in control theory, including fractional controllers, design methods and toolboxes, and a large number of engineering applications of control.

Fractional Order Crowd Dynamics

Author : Kecai Cao
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 311047283X
Total Pages : 198 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Fractional Order Crowd Dynamics by : Kecai Cao

Download or read book Fractional Order Crowd Dynamics written by Kecai Cao and published by Walter de Gruyter GmbH & Co KG. This book was released on 2018-06-11 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates the application of fractional calculus in crowd dynamics via modeling and control groups of pedestrians. Decision-making processes, conservation laws of mass/momentum, and micro-macro models are employed to describe system dynamics while cooperative movements in micro scale, and fractional diffusion in macro scale are studied to control the group of pedestrians. Obtained work is included in the Intelligent Evacuation Systems that is used for modeling and to control crowds of pedestrians. With practical issues considered, this book is of interests to mathematicians, physicists, and engineers.

Managing Distributed Dynamic Systems with Spatial Grasp Technology

Author : Peter Simon Sapaty
Publisher : Springer
ISBN 13 : 9783319504599
Total Pages : 0 pages
Book Rating : 4.5/5 (45 download)

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Book Synopsis Managing Distributed Dynamic Systems with Spatial Grasp Technology by : Peter Simon Sapaty

Download or read book Managing Distributed Dynamic Systems with Spatial Grasp Technology written by Peter Simon Sapaty and published by Springer. This book was released on 2017-02-22 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book describes a novel ideology and supporting information technology for integral management of both civil and defence-orientated large, distributed dynamic systems. The approach is based on a high-level Spatial Grasp Language, SGL, expressing solutions in physical, virtual, executive and combined environments in the form of active self-evolving and self-propagating patterns spatially matching the systems to be created, modified and controlled. The communicating interpreters of SGL can be installed in key system points, which may be in large numbers (up to millions and billions) and represent equipped humans, robots, laptops, smartphones, smart sensors, etc. Operating under gestalt-inspired scenarios in SGL initially injected from any points, these systems can be effectively converted into goal-driven spatial machines (rather than computers as dealing with physical matter too) capable of responding to numerous challenges caused by growing world dynamics in the 21st century. Including numerous practical examples, the book is a valuable resource for system managers and programmers.

Advanced Applications of Fractional Differential Operators to Science and Technology

Author : Matouk, Ahmed Ezzat
Publisher : IGI Global
ISBN 13 : 1799831248
Total Pages : 401 pages
Book Rating : 4.7/5 (998 download)

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Book Synopsis Advanced Applications of Fractional Differential Operators to Science and Technology by : Matouk, Ahmed Ezzat

Download or read book Advanced Applications of Fractional Differential Operators to Science and Technology written by Matouk, Ahmed Ezzat and published by IGI Global. This book was released on 2020-04-24 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional-order calculus dates to the 19th century but has been resurrected as a prevalent research subject due to its provision of more adequate and realistic descriptions of physical aspects within the science and engineering fields. What was once a classical form of mathematics is currently being reintroduced as a new modeling technique that engineers and scientists are finding modern uses for. There is a need for research on all facets of these fractional-order systems and studies of its potential applications. Advanced Applications of Fractional Differential Operators to Science and Technology provides emerging research exploring the theoretical and practical aspects of novel fractional modeling and related dynamical behaviors as well as its applications within the fields of physical sciences and engineering. Featuring coverage on a broad range of topics such as chaotic dynamics, ecological models, and bifurcation control, this book is ideally designed for engineering professionals, mathematicians, physicists, analysts, researchers, educators, and students seeking current research on fractional calculus and other applied mathematical modeling techniques.

Mathematics and its Applications in New Computer Systems

Author : Andrei Tchernykh
Publisher : Springer Nature
ISBN 13 : 3030970205
Total Pages : 571 pages
Book Rating : 4.0/5 (39 download)

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Book Synopsis Mathematics and its Applications in New Computer Systems by : Andrei Tchernykh

Download or read book Mathematics and its Applications in New Computer Systems written by Andrei Tchernykh and published by Springer Nature. This book was released on 2022-04-25 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is based on the best papers accepted for presentation during the International Conference on Mathematics and its Applications in New Computer Systems (MANCS-2021), Russia. The book includes research materials on modern mathematical problems, solutions in the field of cryptography, data analysis and modular computing, as well as scientific computing. The scope of numerical methods in scientific computing presents original research, including mathematical models and software implementations, related to the following topics: numerical methods in scientific computing; solving optimization problems; methods for approximating functions, etc. The studies in mathematical solutions to cryptography issues are devoted to secret sharing schemes, public key systems, private key systems, n-degree comparisons, modular arithmetic of simple, addition of points of an elliptic curve, Hasse theorem, homomorphic encryption and learning with error, and modifications of the RSA system. Furthermore, issues in data analysis and modular computing include contributions in the field of mathematical statistics, machine learning methods, deep learning, and neural networks. Finally, the book gives insights into the fundamental problems in mathematics education. The book intends for readership specializing in the field of cryptography, information security, parallel computing, computer technology, and mathematical education.

Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control

Author : Ahmed G. Radwan
Publisher : Academic Press
ISBN 13 : 0323902030
Total Pages : 530 pages
Book Rating : 4.3/5 (239 download)

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Book Synopsis Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control by : Ahmed G. Radwan

Download or read book Fractional-Order Modeling of Dynamic Systems with Applications in Optimization, Signal Processing, and Control written by Ahmed G. Radwan and published by Academic Press. This book was released on 2021-10-22 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractional-order Modelling of Dynamic Systems with Applications in Optimization, Signal Processing and Control introduces applications from a design perspective, helping readers plan and design their own applications. The book includes the different techniques employed to design fractional-order systems/devices comprehensively and straightforwardly. Furthermore, mathematics is available in the literature on how to solve fractional-order calculus for system applications. This book introduces the mathematics that has been employed explicitly for fractional-order systems. It will prove an excellent material for students and scholars who want to quickly understand the field of fractional-order systems and contribute to its different domains and applications. Fractional-order systems are believed to play an essential role in our day-to-day activities. Therefore, several researchers around the globe endeavor to work in the different domains of fractional-order systems. The efforts include developing the mathematics to solve fractional-order calculus/systems and to achieve the feasible designs for various applications of fractional-order systems. - Presents a simple and comprehensive understanding of the field of fractional-order systems - Offers practical knowledge on the design of fractional-order systems for different applications - Exposes users to possible new applications for fractional-order systems

Mathematical Economics

Author : Vasily E. Tarasov
Publisher : MDPI
ISBN 13 : 303936118X
Total Pages : 278 pages
Book Rating : 4.0/5 (393 download)

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Book Synopsis Mathematical Economics by : Vasily E. Tarasov

Download or read book Mathematical Economics written by Vasily E. Tarasov and published by MDPI. This book was released on 2020-06-03 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.

First Congress of Greek Mathematicians

Author : Ioannis Emmanouil
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110663074
Total Pages : 286 pages
Book Rating : 4.1/5 (16 download)

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Book Synopsis First Congress of Greek Mathematicians by : Ioannis Emmanouil

Download or read book First Congress of Greek Mathematicians written by Ioannis Emmanouil and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-03-23 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: This interesting collection of up-to-date survey articles on various topics of current mathematical research presents extended versions of the plenary talks given by important Greek mathematicians at the congress held in Athens, Greece, on occasion of the celebration for the 100 years of the Hellenic Mathematical Society.

Parallel Computing Technologies

Author : Victor Malyshkin
Publisher : Springer Science & Business Media
ISBN 13 : 3540739394
Total Pages : 648 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Parallel Computing Technologies by : Victor Malyshkin

Download or read book Parallel Computing Technologies written by Victor Malyshkin and published by Springer Science & Business Media. This book was released on 2007-08-07 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Parallel Computing Technologies, PaCT 2007, held in conjunction with the Russian-Taiwan symposium on Methods and Tools of Parallel Programming of Multicomputers. It covers models and languages, applications, techniques for parallel programming supporting, cellular automata, as well as methods and tools of parallel programming of multicomputers.

Dynamic Systems for Everyone

Author : Asish Ghosh
Publisher : Springer
ISBN 13 : 3319107356
Total Pages : 252 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Dynamic Systems for Everyone by : Asish Ghosh

Download or read book Dynamic Systems for Everyone written by Asish Ghosh and published by Springer. This book was released on 2015-04-06 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a study of the interactions between different types of systems, their environment, and their subsystems. The author explains how basic systems principles are applied in engineered (mechanical, electromechanical, etc.) systems and then guides the reader to understand how the same principles can be applied to social, political, economic systems, as well as in everyday life. Readers from a variety of disciplines will benefit from the understanding of system behaviors and will be able to apply those principles in various contexts. The book includes many examples covering various types of systems. The treatment of the subject is non-mathematical, and the book considers some of the latest concepts in the systems discipline, such as agent-based systems, optimization, and discrete events and procedures.

Mathematical Methods in Dynamical Systems

Author : S. Chakraverty
Publisher : CRC Press
ISBN 13 : 1000833771
Total Pages : 393 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Mathematical Methods in Dynamical Systems by : S. Chakraverty

Download or read book Mathematical Methods in Dynamical Systems written by S. Chakraverty and published by CRC Press. This book was released on 2023-05-19 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: The art of applying mathematics to real-world dynamical problems such as structural dynamics, fluid dynamics, wave dynamics, robot dynamics, etc. can be extremely challenging. Various aspects of mathematical modelling that may include deterministic or uncertain (fuzzy, interval, or stochastic) scenarios, along with integer or fractional order, are vital to understanding these dynamical systems. Mathematical Methods in Dynamical Systems offers problem-solving techniques and includes different analytical, semi-analytical, numerical, and machine intelligence methods for finding exact and/or approximate solutions of governing equations arising in dynamical systems. It provides a singular source of computationally efficient methods to investigate these systems and includes coverage of various industrial applications in a simple yet comprehensive way.

Control and Dynamic Systems Volume 36

Author : Richard A Leondes
Publisher : Newnes
ISBN 13 : 0323139515
Total Pages : 423 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Control and Dynamic Systems Volume 36 by : Richard A Leondes

Download or read book Control and Dynamic Systems Volume 36 written by Richard A Leondes and published by Newnes. This book was released on 1990-09-28 with total page 423 pages. Available in PDF, EPUB and Kindle. Book excerpt: Control and Dynamic Systems: Advances in Theory and Applications, Volume 36 reviews advances in theory and applications of large scale control and dynamic systems. Contributors focus on production control and the determination of optimal production rates, along with active control systems, uncertainty in control system design, and methods for analyzing multistage commodity markets. This volume is organized into eight chapters and begins with an introduction to multiobjective decision-tree analysis and its significance in applied situations, with two substantive examples. It then shifts to important techniques for the determination of robust economic policies, methods used in the analysis of multistage commodity markets, and a computationally effective algorithm for the determination of the optimal production rate. This book also describes many highly effective techniques for near optimal and robust model truncation. Robust adaptive identification and control algorithms for disturbances and unmodeled system dynamics are given consideration. The final chapter provides examples of the applied significance of the techniques presented in this book, including such large scale systems areas as aerospace, defense, chemical, environmental, and infrastructural industries. This book will be of interest to students and researchers in engineering and computer science.

Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols

Author : Sabir Umarov
Publisher : Springer
ISBN 13 : 3319207717
Total Pages : 446 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols by : Sabir Umarov

Download or read book Introduction to Fractional and Pseudo-Differential Equations with Singular Symbols written by Sabir Umarov and published by Springer. This book was released on 2015-08-18 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book systematically presents the theories of pseudo-differential operators with symbols singular in dual variables, fractional order derivatives, distributed and variable order fractional derivatives, random walk approximants, and applications of these theories to various initial and multi-point boundary value problems for pseudo-differential equations. Fractional Fokker-Planck-Kolmogorov equations associated with a large class of stochastic processes are presented. A complex version of the theory of pseudo-differential operators with meromorphic symbols based on the recently introduced complex Fourier transform is developed and applied for initial and boundary value problems for systems of complex differential and pseudo-differential equations.