Stability Theory of Switched Dynamical Systems

by Zhendong Sun
Stability Theory of Switched Dynamical Systems
Author: Zhendong Sun
Publisher: Springer Science & Business Media
Total Pages: 266
Release: 2011-01-06
Genre: Technology & Engineering
ISBN: 0857292560
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There are plenty of challenging and interesting problems open for investigation in the field of switched systems. Stability issues help to generate many complex nonlinear dynamic behaviors within switched systems. The authors present a thorough investigation of stability effects on three broad classes of switching mechanism: arbitrary switching where stability represents robustness to unpredictable and undesirable perturbation, constrained switching, including random (within a known stochastic distribution), dwell-time (with a known minimum duration for each subsystem) and autonomously-generated (with a pre-assigned mechanism) switching; and designed switching in which a measurable and freely-assigned switching mechanism contributes to stability by acting as a control input. For each of these classes this book propounds: detailed stability analysis and/or design, related robustness and performance issues, connections to other control problems and many motivating and illustrative examples.

Switching in Systems and Control

by Daniel Liberzon
Switching in Systems and Control
Author: Daniel Liberzon
Publisher: Springer Science & Business Media
Total Pages: 232
Release: 2012-12-06
Genre: Science
ISBN: 1461200172
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The theory of switched systems is related to the study of hybrid systems, which has gained attention from control theorists, computer scientists, and practicing engineers. This book examines switched systems from a control-theoretic perspective, focusing on stability analysis and control synthesis of systems that combine continuous dynamics with switching events. It includes a vast bibliography and a section of technical and historical notes.

Switched Positive Linear Systems

by Franco Blanchini
Switched Positive Linear Systems
Author: Franco Blanchini
Publisher:
Total Pages: 190
Release: 2015-10-19
Genre: Computers
ISBN: 9781680830705
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Positive systems are an important class of systems that frequently arise in application areas, such as in the chemical process industry, electronic circuit design, communication networks, and biology. The study of the stability of such systems differs from standard systems in that the analysis focuses only on the trajectories generated under positivity constraints. Switched positive systems also arise in a variety of applications. Examples can be found in TCP congestion control, in processes described by non-homogeneous Markov chains, in image processing, in biochemical networks, and so on. In comparison to general switched systems, that have received a lot of attention in the past years, the theory for positive switched systems is still in its infancy. Switched Positive Linear Systems studies the stability, performance evaluation, stabilization via switching control, and optimal control of (continuous-time and linear) positive switched systems. It provides a review of the results that have already been established in the literature. Other results, especially those related to norm computation and optimization, are new and are presented integrated with previous ones. Switched Positive Linear Systems provides a comprehensive and timely introduction to the study of such systems. Readers who are new to the topic will find everything required to understand such systems in a concise and accessible form.

Finite-Time Stability: An Input-Output Approach

by Francesco Amato
Finite-Time Stability: An Input-Output Approach
Author: Francesco Amato
Publisher: John Wiley & Sons
Total Pages: 184
Release: 2018-10-08
Genre: Technology & Engineering
ISBN: 1119140528
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Systematically presents the input-output finite-time stability (IO-FTS) analysis of dynamical systems, covering issues of analysis, design and robustness The interest in finite-time control has continuously grown in the last fifteen years. This book systematically presents the input-output finite-time stability (IO-FTS) analysis of dynamical systems, with specific reference to linear time-varying systems and hybrid systems. It discusses analysis, design and robustness issues, and includes applications to real world engineering problems. While classical FTS has an important theoretical significance, IO-FTS is a more practical concept, which is more suitable for real engineering applications, the goal of the research on this topic in the coming years. Key features: Includes applications to real world engineering problems. Input-output finite-time stability (IO-FTS) is a practical concept, useful to study the behavior of a dynamical system within a finite interval of time. Computationally tractable conditions are provided that render the technique applicable to time-invariant as well as time varying and impulsive (i.e. switching) systems. The LMIs formulation allows mixing the IO-FTS approach with existing control techniques (e. g. H∞ control, optimal control, pole placement, etc.). This book is essential reading for university researchers as well as post-graduate engineers practicing in the field of robust process control in research centers and industries. Topics dealt with in the book could also be taught at the level of advanced control courses for graduate students in the department of electrical and computer engineering, mechanical engineering, aeronautics and astronautics, and applied mathematics.

Switched Linear Systems

by Zhendong Sun
Switched Linear Systems
Author: Zhendong Sun
Publisher: Springer Science & Business Media
Total Pages: 303
Release: 2006-03-30
Genre: Technology & Engineering
ISBN: 1846281318
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Switched linear systems have enjoyed a particular growth in interest since the 1990s. The large amount of data and ideas thus generated have, until now, lacked a co-ordinating framework to focus them effectively on some of the fundamental issues such as the problems of robust stabilizing switching design, feedback stabilization and optimal switching. This deficiency is resolved by this book which features: nucleus of constructive design approaches based on canonical decomposition and forming a sound basis for the systematic treatment of secondary results; theoretical exploration and logical association of several independent but pivotal concerns in control design as they pertain to switched linear systems: controllability and observability, feedback stabilization, optimization and periodic switching; a reliable foundation for further theoretical research as well as design guidance for real life engineering applications through the integration of novel ideas, fresh insights and rigorous results.

Saturated Switching Systems

by Abdellah Benzaouia
Saturated Switching Systems
Author: Abdellah Benzaouia
Publisher: Springer Science & Business Media
Total Pages: 300
Release: 2012-03-30
Genre: Technology & Engineering
ISBN: 1447128990
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Saturated Switching Systems treats the problem of actuator saturation, inherent in all dynamical systems by using two approaches: positive invariance in which the controller is designed to work within a region of non-saturating linear behaviour; and saturation technique which allows saturation but guarantees asymptotic stability. The results obtained are extended from the linear systems in which they were first developed to switching systems with uncertainties, 2D switching systems, switching systems with Markovian jumping and switching systems of the Takagi-Sugeno type. The text represents a thoroughly referenced distillation of results obtained in this field during the last decade. The selected tool for analysis and design of stabilizing controllers is based on multiple Lyapunov functions and linear matrix inequalities. All the results are illustrated with numerical examples and figures many of them being modelled using MATLAB®. Saturated Switching Systems will be of interest to academic researchers in control systems and to professionals working in any of the many fields where systems are affected by saturation including: chemical and pharmaceutical batch processing, manufacturing (for example in steel rolling), air-traffic control, and the automotive and aerospace industries.

Hybrid Dynamical Systems

by Hai Lin
Hybrid Dynamical Systems
Author: Hai Lin
Publisher: Springer Nature
Total Pages: 455
Release: 2021-11-18
Genre: Technology & Engineering
ISBN: 3030787311
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A graduate-level textbook, Hybrid Dynamical Systems provides an accessible and comprehensive introduction to the theory of hybrid systems. It emphasizes results that are central to a good understanding of the importance and role of such systems. The authors have developed the materials in this book while teaching courses on hybrid systems, cyber-physical systems, and formal methods. This textbook helps students to become familiar with both the major approaches coloring the study of hybrid dynamical systems. The computer science and control systems points of view – emphasizing discrete dynamics and real time, and continuous dynamics with switching, respectively – are each covered in detail. The book shows how the behavior of a system with tightly coupled cyber- (discrete) and physical (continuous) elements can best be understood by a model simultaneously encompassing all the dynamics and their interconnections. The theory presented is of fundamental importance in a wide range of emerging fields from next-generation transportation systems to smart manufacturing.Features of the text include: extensive use of examples to illustrate the main concepts and to provide insights additional to those acquired from the main text; chapter summaries enabling students to assess their progress; end-of-chapter exercises, which test learning as a course proceeds; an instructor’s guide showing how different parts of the book can be exploited for different course requirements; and a solutions manual, freely available for download by instructors adopting the book for their teaching. Access to MATLAB and Stateflow is not required but would be beneficial, especially for exercises in which simulations are a key tool.

Stabilization and H∞ Control of Switched Dynamic Systems

by Jun Fu
Stabilization and H∞ Control of Switched Dynamic Systems
Author: Jun Fu
Publisher: Springer Nature
Total Pages: 167
Release: 2020-09-24
Genre: Technology & Engineering
ISBN: 3030541975
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This book presents several novel constructive methodologies for global stabilization and H-infinity control in switched dynamic systems by using the systems’ structure information. The main features of these new approaches are twofold: i) Novel Lyapunov functions are constructed and new switching strategies are designed to guarantee global finite-time stabilization of the closed-loop switched dynamic systems,while ii) without posing any internal stability requirements on subsystems, the standard H-infinity control problem of the switched dynamic systems is solved by means of dwell-time switching techniques. Systematically presenting constructive methods for analyzing and synthesizing switched systems, the content is of great significance to theoretical research and practical applications involving switched systems alike. The book provides a unified framework for stability analysis, stabilization and H-infinity control of switched systems, making it a valuable resource for researchers and graduate students who want to learn about the state of the art in the analysis and synthesis of switched systems, as well as recent advances in switched linear systems. In addition, it offers a wealth of cutting-edge constructive methods and algorithm designs for researchers who work with switched dynamic systems and graduate students of control theory and control engineering.

Distributed Sensing and Intelligent Systems

by Mohamed Elhoseny
Distributed Sensing and Intelligent Systems
Author: Mohamed Elhoseny
Publisher: Springer Nature
Total Pages: 841
Release: 2022-06-27
Genre: Technology & Engineering
ISBN: 3030642585
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This book is the proceeding of the 1st International Conference on Distributed Sensing and Intelligent Systems (ICDSIS2020) which will be held in The National School of Applied Sciences of Agadir, Ibn Zohr University, Agadir, Morocco on February 01-03, 2020. ICDSIS2020 is co-organized by Computer Vision and Intelligent Systems Lab, University of North Texas, USA as a scientific collaboration event with The National School of Applied Sciences of Agadir, Ibn Zohr University. ICDSIS2020 aims to foster students, researchers, academicians and industry persons in the field of Computer and Information Science, Intelligent Systems, and Electronics and Communication Engineering in general. The volume collects contributions from leading experts around the globe with the latest insights on emerging topics, and includes reviews, surveys, and research chapters covering all aspects of distributed sensing and intelligent systems. The volume is divided into 5 key sections: Distributed Sensing Applications; Intelligent Systems; Advanced theories and algorithms in machine learning and data mining; Artificial intelligence and optimization, and application to Internet of Things (IoT); and Cybersecurity and Secure Distributed Systems. This conference proceeding is an academic book which can be read by students, analysts, policymakers, and regulators interested in Distributed Sensing, Smart Network approaches, Smart Cities, IoT Applications, and Intelligent Applications. It is written in plain and easy language, and describes new concepts when they appear first so that a reader without prior background of the field finds it readable. The book is primarily intended for research students in sensor networks and IoT applications (including intelligent information systems, and smart sensors applications), academics in higher education institutions including universities and vocational colleges, policy makers and legislators.