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Stability Of Stationary Sets In Control Systems With Discontinuous Nonlinearities
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Book Synopsis Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities by : Vladimir Andreevich I?A?kubovich
Download or read book Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities written by Vladimir Andreevich I?A?kubovich and published by World Scientific. This book was released on 2004 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the KalmanOCoYakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines. Sample Chapter(s). Chapter 1: Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides (455 KB). Contents: Foundations of Theory of Differential Equations with Discontinuous Right-Hand Sides; Auxiliary Algebraic Statements on Solutions of Matrix Inequalities of a Special Type; Dichotomy and Stability of Nonlinear Systems with Multiple Equilibria; Stability of Equilibria Sets of Pendulum-Like Systems. Readership: Upper level undergraduates, graduate students, academics, researchers and engineers involved with mechanics, electrical science and power systems."
Book Synopsis Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities by :
Download or read book Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities by : Vladimir Andreevich I?A?kubovich
Download or read book Stability of Stationary Sets in Control Systems with Discontinuous Nonlinearities written by Vladimir Andreevich I?A?kubovich and published by World Scientific. This book was released on 2004 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a development of the frequency-domain approach to the stability study of stationary sets of systems with discontinuous nonlinearities. The treatment is based on the theory of differential inclusions and the second Lyapunov method. Various versions of the Kalman-Yakubovich lemma on solvability of matrix inequalities are presented and discussed in detail. It is shown how the tools developed can be applied to stability investigations of relay control systems, gyroscopic systems, mechanical systems with a Coulomb friction, nonlinear electrical circuits, cellular neural networks, phase-locked loops, and synchronous machines.
Book Synopsis Analysis and Control of Nonlinear Systems with Stationary Sets by : Jinzhi Wang
Download or read book Analysis and Control of Nonlinear Systems with Stationary Sets written by Jinzhi Wang and published by World Scientific. This book was released on 2009 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and single-output systems. The control methods presented in this book will be valuable for research on nonlinear systems with stationary sets.
Author :J. A. Tenreiro Machado Publisher :Springer Science & Business Media ISBN 13 :3319014110 Total Pages :433 pages Book Rating :4.3/5 (19 download)
Book Synopsis Discontinuity and Complexity in Nonlinear Physical Systems by : J. A. Tenreiro Machado
Download or read book Discontinuity and Complexity in Nonlinear Physical Systems written by J. A. Tenreiro Machado and published by Springer Science & Business Media. This book was released on 2013-12-04 with total page 433 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discontinuity in Nonlinear Physical Systems explores recent developments in experimental research in this broad field, organized in four distinct sections. Part I introduces the reader to the fractional dynamics and Lie group analysis for nonlinear partial differential equations. Part II covers chaos and complexity in nonlinear Hamiltonian systems, important to understand the resonance interactions in nonlinear dynamical systems, such as Tsunami waves and wildfire propagations; as well as Lev flights in chaotic trajectories, dynamical system synchronization and DNA information complexity analysis. Part III examines chaos and periodic motions in discontinuous dynamical systems, extensively present in a range of systems, including piecewise linear systems, vibro-impact systems and drilling systems in engineering. And in Part IV, engineering and financial nonlinearity are discussed. The mechanism of shock wave with saddle-node bifurcation and rotating disk stability will be presented, and the financial nonlinear models will be discussed.
Book Synopsis Road Map for Sliding Mode Control Design by : Vadim Utkin
Download or read book Road Map for Sliding Mode Control Design written by Vadim Utkin and published by Springer Nature. This book was released on 2020-04-13 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to control of finite and infinite dimensional processes with continuous-time and discrete time control, focusing on suppression problems and new methods of adaptation applicable for systems with sliding motions only. Special mathematical methods are needed for all the listed control tasks. These methods are addressed in the initial chapters, with coverage of the definition of the multidimensional sliding modes, the derivation of the differential equations of those motions, and the existence conditions. Subsequent chapters discusses various areas of further research. The book reflects the consensus view of the authors regarding the current status of SMC theory. It is addressed to a broad spectrum of engineers and theoreticians working in diverse areas of control theory and applications. It is well suited for use in graduate and postgraduate courses in such university programs as Electrical Engineering, Control of Nonlinear Systems, and Mechanical Engineering.
Book Synopsis Dissipative Systems Analysis and Control by : Bernard Brogliato
Download or read book Dissipative Systems Analysis and Control written by Bernard Brogliato and published by Springer. This book was released on 2019-07-03 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second edition of Dissipative Systems Analysis and Control has been substantially reorganized to accommodate new material and enhance its pedagogical features. It examines linear and nonlinear systems with examples of both in each chapter. Also included are some infinite-dimensional and nonsmooth examples. Throughout, emphasis is placed on the use of the dissipative properties of a system for the design of stable feedback control laws.
Book Synopsis Generalized Homogeneity in Systems and Control by : Andrey Polyakov
Download or read book Generalized Homogeneity in Systems and Control written by Andrey Polyakov and published by Springer Nature. This book was released on 2020-02-05 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph introduces the theory of generalized homogeneous systems governed by differential equations in both Euclidean (finite-dimensional) and Banach/Hilbert (infinite-dimensional) spaces. It develops methods of stability and robustness analysis, control design, state estimation and discretization of homogeneous control systems. Generalized Homogeneity in Systems and Control is structured in two parts. Part I discusses various models of control systems and related tools for their analysis, including Lyapunov functions. Part II deals with the analysis and design of homogeneous control systems. Some of the key features of the text include: mathematical models of dynamical systems in finite-dimensional and infinite-dimensional spaces; the theory of linear dilations in Banach spaces; homogeneous control and estimation; simple methods for an "upgrade" of existing linear control laws; numerical schemes for a consistent digital implementation of homogeneous algorithms; and experiments confirming an improvement of PID controllers. The advanced mathematical material will be of interest to researchers, mathematicians working in control theory and mathematically oriented control engineers.
Book Synopsis Nonlinear Control of Dynamic Networks by : Tengfei Liu
Download or read book Nonlinear Control of Dynamic Networks written by Tengfei Liu and published by CRC Press. This book was released on 2018-09-03 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Significant progress has been made on nonlinear control systems in the past two decades. However, many of the existing nonlinear control methods cannot be readily used to cope with communication and networking issues without nontrivial modifications. For example, small quantization errors may cause the performance of a "well-designed" nonlinear control system to deteriorate. Motivated by the need for new tools to solve complex problems resulting from smart power grids, biological processes, distributed computing networks, transportation networks, robotic systems, and other cutting-edge control applications, Nonlinear Control of Dynamic Networks tackles newly arising theoretical and real-world challenges for stability analysis and control design, including nonlinearity, dimensionality, uncertainty, and information constraints as well as behaviors stemming from quantization, data-sampling, and impulses. Delivering a systematic review of the nonlinear small-gain theorems, the text: Supplies novel cyclic-small-gain theorems for large-scale nonlinear dynamic networks Offers a cyclic-small-gain framework for nonlinear control with static or dynamic quantization Contains a combination of cyclic-small-gain and set-valued map designs for robust control of nonlinear uncertain systems subject to sensor noise Presents a cyclic-small-gain result in directed graphs and distributed control of nonlinear multi-agent systems with fixed or dynamically changing topology Based on the authors’ recent research, Nonlinear Control of Dynamic Networks provides a unified framework for robust, quantized, and distributed control under information constraints. Suggesting avenues for further exploration, the book encourages readers to take into consideration more communication and networking issues in control designs to better handle the arising challenges.
Book Synopsis Dynamics and Control of Advanced Structures and Machines by : Valerii P. Matveenko
Download or read book Dynamics and Control of Advanced Structures and Machines written by Valerii P. Matveenko and published by Springer. This book was released on 2019-03-08 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume includes 30 contributions from the 3rd International Workshop on Advanced Dynamics and Model Based Control of Structures and Machines representing the frontiers in the mechanics of controlled machines and structures. The Workshop, held in Perm, Russia in September 2017 continued a series of international workshops, starting in with the Japan - Austria Joint Workshop on Mechanics and Model Based Control of Smart Materials and Structures, the Russia - Austria Joint Workshop on Advanced Dynamics and Model Based Control of Structures and Machines and the first two editions of the International Workshop on Advanced Dynamics and Model Based Control of Structures and Machines. The previous workshops took place in Linz, Austria in September 2008 and April 2010, in St. Petersburg, Russia in July 2012 and in Vienna, Austria in September 2015. The up-to-date contributions are authored by internationally re-known leading experts in dynamics and control representing a broad spectrum of topics in the field of Advanced Structures and Machines; both, with respect to theoretical aspects as well as applications to contemporary engineering problems.
Book Synopsis Nonlinear and Adaptive Control by : Alessandro Astolfi
Download or read book Nonlinear and Adaptive Control written by Alessandro Astolfi and published by World Scientific. This book was released on 2006 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book summarizes the main results achieved in a four-year European Project on nonlinear and adaptive control. The project involves leading researchers from top-notch institutions: Imperial College London (Prof A Astolfi), Lund University (Prof A Rantzer), Supelec Paris (Prof R Ortega), University of Technology of Compiegne (Prof R Lozano), Grenoble Polytechnic (Prof C Canudas de Wit), University of Twente (Prof A van der Schaft), Politecnico of Milan (Prof S Bittanti), and Polytechnic University of Valencia (Prof P Albertos).The book also provides an introduction to theoretical advances in nonlinear and adaptive control and an overview of novel applications of advanced control theory, particularly topics on the control of partially known systems, under-actuated systems, and bioreactors.
Book Synopsis Analysis and Control of Nonlinear Systems with Stationary Sets by : Jinzhi Wang
Download or read book Analysis and Control of Nonlinear Systems with Stationary Sets written by Jinzhi Wang and published by World Scientific. This book was released on 2009 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinear systems with stationary sets are important because they cover a lot of practical systems in engineering. Previous analysis has been based on the frequency-domain for this class of systems. However, few results on robustness analysis and controller design for these systems are easily available. This book presents the analysis as well as methods based on the global properties of systems with stationary sets in a unified time-domain and frequency-domain framework. The focus is on multi-input and multi-output systems, compared to previous publications which considered only single-input and single-output systems. The control methods presented in this book will be valuable for research on nonlinear systems with stationary sets.
Book Synopsis Hidden Dynamics by : Mike R. Jeffrey
Download or read book Hidden Dynamics written by Mike R. Jeffrey and published by Springer. This book was released on 2018-12-11 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: The dream of mathematical modeling is of systems evolving in a continuous, deterministic, predictable way. Unfortunately continuity is lost whenever the `rules of the game' change, whether a change of behavioural regime, or a change of physical properties. From biological mitosis to seizures. From rattling machine parts to earthquakes. From individual decisions to economic crashes. Where discontinuities occur, determinacy is inevitably lost. Typically the physical laws of such change are poorly understood, and too ill-defined for standard mathematics. Discontinuities offer a way to make the bounds of scientific knowledge a part of the model, to analyse a system with detail and rigour, yet still leave room for uncertainty. This is done without recourse to stochastic modeling, instead retaining determinacy as far as possible, and focussing on the geometry of the many outcomes that become possible when it breaks down. In this book the foundations of `piecewise-smooth dynamics' theory are rejuvenated, given new life through the lens of modern nonlinear dynamics and asymptotics. Numerous examples and exercises lead the reader through from basic to advanced analytical methods, particularly new tools for studying stability and bifurcations. The book is aimed at scientists and engineers from any background with a basic grounding in calculus and linear algebra. It seeks to provide an invaluable resource for modeling discontinuous systems, but also to empower the reader to develop their own novel models and discover as yet unknown phenomena.
Book Synopsis Optimization and Applications by : Nicholas N. Olenev
Download or read book Optimization and Applications written by Nicholas N. Olenev and published by Springer Nature. This book was released on 2021-11-04 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 12th International Conference on Optimization and Applications, OPTIMA 2021, held in Petrovac, Montenegro, in September-October 2021. The 22 full and 3 short papers presented were carefully reviewed and selected from 63 submissions. The papers are organized into the following topical sub-headings: mathematical programming, global optimization, discrete and combinatorial optimization, optimal control, optimization and data analysis, and game theory and mathematical economics.
Book Synopsis Complexity and Control by : Vladimir G Ivancevic
Download or read book Complexity and Control written by Vladimir G Ivancevic and published by World Scientific. This book was released on 2014-11-07 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book Complexity and Control: Towards a Rigorous Behavioral Theory of Complex Dynamical Systems is a graduate-level monographic textbook, intended to be a novel and rigorous contribution to modern Complexity Theory. This book contains 11 chapters and is designed as a one-semester course for engineers, applied and pure mathematicians, theoretical and experimental physicists, computer and economic scientists, theoretical chemists and biologists, as well as all mathematically educated scientists and students, both in industry and academia, interested in predicting and controlling complex dynamical systems of arbitrary nature. Contents:IntroductionLocal Geometrical Machinery for Complexity and ControlGlobal Categorical Framework for Complexity and ControlDynamics of Crowd Behaviors: From Complex Plane to Quantum Random FieldsHierarchical Self-Similarity in Group and Crowd BehaviorsHybrid Topological Lie-Hamiltonian Learning in Evolving Energy LandscapesComplexity and Control in Solitary Conductive PDEsQuantum-Computation for Perceptual Control ArchitectureComplexity and Control in Entropic and Stochastic Self-OrganizationCrash Simulator: Brain-and-Spine Injury MechanicsConclusionCode Samples Used for Complexity and Control Readership: Professional and researchers in the field of nonlinear science, chaos and dynamical and complex systems. Key Features:Unique approach of generalized dynamics, rooted in the most powerful Kähler geometry, combining Lagrangian, Hamiltonian and quantum systemsUnique visual framework of commutative diagrams and n-categoriesPlenty of computational algorithms in Mathematica, Matlab, C#, C/C++ and Fortran 90Keywords:Generalized Dynamics;Kähler Geometry;Lagrangian;Hamiltonian and Quantum Systems
Book Synopsis Estimation and Control over Communication Networks by : Alexey S. Matveev
Download or read book Estimation and Control over Communication Networks written by Alexey S. Matveev and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a systematic theory of estimation and control over communication networks. It develops a theory that utilizes communications, control, information and dynamical systems theory motivated and applied to advanced networking scenarios. The book establishes theoretically rich and practically important connections among modern control theory, Shannon information theory, and entropy theory of dynamical systems originated in the work of Kolmogorov. This self-contained monograph covers the latest achievements in the area. It contains many real-world applications and the presentation is accessible.
Book Synopsis Attractor Dimension Estimates for Dynamical Systems: Theory and Computation by : Nikolay Kuznetsov
Download or read book Attractor Dimension Estimates for Dynamical Systems: Theory and Computation written by Nikolay Kuznetsov and published by Springer Nature. This book was released on 2020-07-02 with total page 555 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides analytical and numerical methods for the estimation of dimension characteristics (Hausdorff, Fractal, Carathéodory dimensions) for attractors and invariant sets of dynamical systems and cocycles generated by smooth differential equations or maps in finite-dimensional Euclidean spaces or on manifolds. It also discusses stability investigations using estimates based on Lyapunov functions and adapted metrics. Moreover, it introduces various types of Lyapunov dimensions of dynamical systems with respect to an invariant set, based on local, global and uniform Lyapunov exponents, and derives analytical formulas for the Lyapunov dimension of the attractors of the Hénon and Lorenz systems. Lastly, the book presents estimates of the topological entropy for general dynamical systems in metric spaces and estimates of the topological dimension for orbit closures of almost periodic solutions to differential equations.
