On Stability and Stabilization of Continuous-time Singular Markovian Switching Systems

On Stability and Stabilization of Continuous-time Singular Markovian Switching Systems PDF Author: El-Kébir Boukas
Publisher:
ISBN:
Category : Decision making
Languages : en
Pages : 0

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On Stability and Stabilization of Continuous-time Singular Markovian Switching Systems

On Stability and Stabilization of Continuous-time Singular Markovian Switching Systems PDF Author: El-Kébir Boukas
Publisher:
ISBN:
Category : Decision making
Languages : en
Pages : 0

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Book Description


Analysis and Design of Singular Markovian Jump Systems

Analysis and Design of Singular Markovian Jump Systems PDF Author: Guoliang Wang
Publisher: Springer
ISBN: 3319087231
Category : Technology & Engineering
Languages : en
Pages : 287

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Book Description
This monograph is an up-to-date presentation of the analysis and design of singular Markovian jump systems (SMJSs) in which the transition rate matrix of the underlying systems is generally uncertain, partially unknown and designed. The problems addressed include stability, stabilization, H∞ control and filtering, observer design, and adaptive control. applications of Markov process are investigated by using Lyapunov theory, linear matrix inequalities (LMIs), S-procedure and the stochastic Barbalat’s Lemma, among other techniques. Features of the book include: · study of the stability problem for SMJSs with general transition rate matrices (TRMs); · stabilization for SMJSs by TRM design, noise control, proportional-derivative and partially mode-dependent control, in terms of LMIs with and without equation constraints; · mode-dependent and mode-independent H∞ control solutions with development of a type of disordered controller; · observer-based controllers of SMJSs in which both the designed observer and controller are either mode-dependent or mode-independent; · consideration of robust H∞ filtering in terms of uncertain TRM or filter parameters leading to a method for totally mode-independent filtering · development of LMI-based conditions for a class of adaptive state feedback controllers with almost-certainly-bounded estimated error and almost-certainly-asymptotically-stable corres ponding closed-loop system states · applications of Markov process on singular systems with norm bounded uncertainties and time-varying delays Analysis and Design of Singular Markovian Jump Systems contains valuable reference material for academic researchers wishing to explore the area. The contents are also suitable for a one-semester graduate course.

Finite-Time Stability: An Input-Output Approach

Finite-Time Stability: An Input-Output Approach PDF Author: Francesco Amato
Publisher: John Wiley & Sons
ISBN: 1119140528
Category : Technology & Engineering
Languages : en
Pages : 184

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Book Description
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.

Discrete-Time Markov Jump Linear Systems

Discrete-Time Markov Jump Linear Systems PDF Author: O.L.V. Costa
Publisher: Springer Science & Business Media
ISBN: 1846280826
Category : Mathematics
Languages : en
Pages : 287

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Book Description
This will be the most up-to-date book in the area (the closest competition was published in 1990) This book takes a new slant and is in discrete rather than continuous time

Stochastic Differential Equations with Markovian Switching

Stochastic Differential Equations with Markovian Switching PDF Author: Xuerong Mao
Publisher: Imperial College Press
ISBN: 1860947018
Category : Mathematics
Languages : en
Pages : 430

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Book Description
This textbook provides the first systematic presentation of the theory of stochastic differential equations with Markovian switching. It presents the basic principles at an introductory level but emphasizes current advanced level research trends. The material takes into account all the features of Ito equations, Markovian switching, interval systems and time-lag. The theory developed is applicable in different and complicated situations in many branches of science and industry.

Stochastic Switching Systems

Stochastic Switching Systems PDF Author: El-Kébir Boukas
Publisher: Springer Science & Business Media
ISBN: 0817644520
Category : Technology & Engineering
Languages : en
Pages : 413

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Book Description
An introductory chapter highlights basics concepts and practical models, which are then used to solve more advanced problems throughout the book. Included are many numerical examples and LMI synthesis methods and design approaches.

Stability Analysis of Markovian Jump Systems

Stability Analysis of Markovian Jump Systems PDF Author: Yu Kang
Publisher: Springer
ISBN: 9811038600
Category : Technology & Engineering
Languages : en
Pages : 202

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Book Description
This book focuses on the stability analysis of Markovian jump systems (MJSs) with various settings and discusses its applications in several different areas. It also presents general definitions of the necessary concepts and an overview of the recent developments in MJSs. Further, it addresses the general robust problem of Markovian jump linear systems (MJLSs), the asynchronous stability of a class of nonlinear systems, the robust adaptive control scheme for a class of nonlinear uncertain MJSs, the practical stability of MJSs and its applications as a modelling tool for networked control systems, Markovian-based control for wheeled mobile manipulators and the jump-linear-quadratic (JLQ) problem of a class of continuous-time MJLSs. It is a valuable resource for researchers and graduate students in the field of control theory and engineering.

Positive Markov Jump Linear Systems

Positive Markov Jump Linear Systems PDF Author: Paolo Bolzern
Publisher:
ISBN: 9781680830965
Category : Technology & Engineering
Languages : en
Pages : 166

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Book Description
Positive Markov Jump Linear Systems are piecewise positive linear systems affected by a stochastic signal generated by a Markov chain. Positive systems naturally arise in the description of biological systems, compartmental models, population dynamics, traffic modeling, chemical reactions, queue processes, and so on. A rich literature on positive linear systems is now available. Positive Markov Jump Linear Systems is the first work to provide an overview of these developments. It outlines the typical applications of such systems, giving a detailed description of the mathematical theory underpinning the subject. Positive Markov Jump 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.

Analysis and Synthesis of Singular Systems with Time-Delays

Analysis and Synthesis of Singular Systems with Time-Delays PDF Author: Zheng-Guang Wu
Publisher: Springer
ISBN: 3642374972
Category : Technology & Engineering
Languages : en
Pages : 232

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Book Description
Singular time-delay systems are very suitable to describe a lot of practical systems such as manufacturing systems, networked control systems, power systems and electrical circuits. Thus, the past two decades have witnessed a significant progress on the theory of singular time-delay systems, and many fundamental and important topics have been successfully investigated including stability analysis, stabilization, guaranteed cost control, filtering, observer design, sliding mode control and so on. The main objective of this book is to present the latest developments and references in the analysis and synthesis of singular time-delay systems with or without Markov jumping parameters in a unified framework. The materials adopted in this book are mainly based on research results of the authors. This book will be of interest to academic researchers working in singular systems, time-delay systems and Markov jump systems and to graduate students interested in systems and control theory.

Analysis and Design of Descriptor Linear Systems

Analysis and Design of Descriptor Linear Systems PDF Author: Guang-Ren Duan
Publisher: Springer Science & Business Media
ISBN: 1441963979
Category : Mathematics
Languages : en
Pages : 504

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Book Description
Descriptor linear systems theory is an important part in the general field of control systems theory, and has attracted much attention in the last two decades. In spite of the fact that descriptor linear systems theory has been a topic very rich in content, there have been only a few books on this topic. This book provides a systematic introduction to the theory of continuous-time descriptor linear systems and aims to provide a relatively systematic introduction to the basic results in descriptor linear systems theory. The clear representation of materials and a large number of examples make this book easy to understand by a large audience. General readers will find in this book a comprehensive introduction to the theory of descriptive linear systems. Researchers will find a comprehensive description of the most recent results in this theory and students will find a good introduction to some important problems in linear systems theory.