Practical Stability Of Nonlinear Systems
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Practical Stability Of Nonlinear Systems
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Author : V. Lakshmikantham
language : en
Publisher: World Scientific
Release Date : 1990
Practical Stability Of Nonlinear Systems written by V. Lakshmikantham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.
This is the first book that deals with practical stability and its development. It presents a systematic study of the theory of practical stability in terms of two different measures and arbitrary sets and demonstrates the manifestations of general Lyapunov's method by showing how this effective technique can be adapted to investigate various apparently diverse nonlinear problems including control systems and multivalued differential equations.
New Results On Practical Stability For Linear And Nonlinear Uncertain Systems
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Author : Laura Celentano
language : en
Publisher: Edizioni Nuova Cultura
Release Date : 2012
New Results On Practical Stability For Linear And Nonlinear Uncertain Systems written by Laura Celentano and has been published by Edizioni Nuova Cultura this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.
Asme 65 Wa Aut 19
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Author : Ira Gura
language : en
Publisher:
Release Date : 1965
Asme 65 Wa Aut 19 written by Ira Gura and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Lyapunov stability categories.
Stability Domains
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Author : Lyubomir T. Gruyitch
language : en
Publisher: CRC Press
Release Date : 2003-12-15
Stability Domains written by Lyubomir T. Gruyitch and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-15 with Mathematics categories.
Stability Domains is an up-to-date account of stability theory with particular emphasis on stability domains. Beyond the fundamental basis of the theory of dynamical systems, it includes recent developments in the classical Lyapunov stability concept, practical stabiliy properties, and a new Lyapunov methodology for nonlinear systems. It also introduces classical Lyapunov and practical stability theory for time-invariant nonlinear systems in general and for complex (interconnected, large scale) nonlinear dynamical systems in particular. This is a complete treatment of the theory of stability domains useful for postgraduates and researchers working in this area of applied mathematics and engineering.
Vector Lyapunov Functions And Stability Analysis Of Nonlinear Systems
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Author : V. Lakshmikantham
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Vector Lyapunov Functions And Stability Analysis Of Nonlinear Systems written by V. Lakshmikantham and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
One service mathematics has rendered the 'Et moi, "', si j'avait su comment en revenir, je n'y serais point all".' human race. It has put common sense back where it belongs, on the topmost shelf next Jules Verne to the dusty canister labelled 'discarded non sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics . .'; 'One service logic has rendered com puter science . .'; 'One service category theory has rendered mathematics . .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Stability Domains
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Author : Lyubomir T. Gruyitch
language : en
Publisher: CRC Press
Release Date : 2003-12-15
Stability Domains written by Lyubomir T. Gruyitch and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-12-15 with Mathematics categories.
Stability Domains is an up-to-date account of stability theory with particular emphasis on stability domains. Beyond the fundamental basis of the theory of dynamical systems, it includes recent developments in the classical Lyapunov stability concept, practical stabiliy properties, and a new Lyapunov methodology for nonlinear systems. It also introduces classical Lyapunov and practical stability theory for time-invariant nonlinear systems in general and for complex (interconnected, large scale) nonlinear dynamical systems in particular. This is a complete treatment of the theory of stability domains useful for postgraduates and researchers working in this area of applied mathematics and engineering.
Stability Analysis And Design For Nonlinear Singular Systems
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Author : Chunyu Yang
language : en
Publisher: Springer
Release Date : 2012-08-14
Stability Analysis And Design For Nonlinear Singular Systems written by Chunyu Yang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-14 with Technology & Engineering categories.
Singular systems which are also referred to as descriptor systems, semi-state systems, differential- algebraic systems or generalized state-space systems have attracted much attention because of their extensive applications in the Leontief dynamic model, electrical and mechanical models, etc. This monograph presented up-to-date research developments and references on stability analysis and design of nonlinear singular systems. It investigated the problems of practical stability, strongly absolute stability, input-state stability and observer design for nonlinear singular systems and the problems of absolute stability and multi-objective control for nonlinear singularly perturbed systems by using Lyapunov stability theory, comparison principle, S-procedure and linear matrix inequality (LMI), etc. Practical stability, being quite different from stability in the sense of Lyapunov, is a significant performance specification from an engineering point of view. The basic concepts and results on practical stability for standard state-space systems were generalized to singular systems. For Lur’e type descriptor systems (LDS) which were the feedback interconnection of a descriptor system with a static nonlinearity, strongly absolute stability was defined and Circle criterion and Popov criterion were derived. The notion of input-state stability (ISS) for nonlinear singular systems was defined based on the concept of ISS for standard state-space systems and the characteristics of singular systems. LMI-based sufficient conditions for ISS of Lur’e singular systems were proposed. Furthermore, observer design for nonlinear singular systems was studied and some observer design methods were proposed by the obtained stability results and convex optimization algorithms. Finally, absolute stability and multi-objective control of nonlinear singularly perturbed systems were considered. By Lyapunov functions, absolute stability criteria of Lur’e singularly perturbed systems were proposed and multi-objective control of T-S fuzzy singularly perturbed systems was achieved. Compared with the existing results, the obtained methods do not depend on the decomposition of the original system and can produce a determinate upper bound for the singular perturbation parameter.
State Estimation And Stabilization Of Nonlinear Systems
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Author : Abdellatif Ben Makhlouf
language : en
Publisher: Springer Nature
Release Date : 2023-11-06
State Estimation And Stabilization Of Nonlinear Systems written by Abdellatif Ben Makhlouf and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-06 with Technology & Engineering categories.
This book presents the separation principle which is also known as the principle of separation of estimation and control and states that, under certain assumptions, the problem of designing an optimal feedback controller for a stochastic system can be solved by designing an optimal observer for the system's state, which feeds into an optimal deterministic controller for the system. Thus, the problem may be divided into two halves, which simplifies its design. In the context of deterministic linear systems, the first instance of this principle is that if a stable observer and stable state feedback are built for a linear time-invariant system (LTI system hereafter), then the combined observer and feedback are stable. The separation principle does not true for nonlinear systems in general. Another instance of the separation principle occurs in the context of linear stochastic systems, namely that an optimum state feedback controller intended to minimize a quadratic cost is optimal for the stochastic control problem with output measurements. The ideal solution consists of a Kalman filter and a linear-quadratic regulator when both process and observation noise are Gaussian. The term for this is linear-quadratic-Gaussian control. More generally, given acceptable conditions and when the noise is a martingale (with potential leaps), a separation principle, also known as the separation principle in stochastic control, applies when the noise is a martingale (with possible jumps).
Stability Analysis Of Markovian Jump Systems
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Author : Yu Kang
language : en
Publisher: Springer
Release Date : 2017-09-08
Stability Analysis Of Markovian Jump Systems written by Yu Kang and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-08 with Technology & Engineering categories.
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.
Stability Analysis In Terms Of Two Measures
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Author : Vangipuram Lakshmikantham
language : en
Publisher: World Scientific
Release Date : 1993-09-30
Stability Analysis In Terms Of Two Measures written by Vangipuram Lakshmikantham and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-09-30 with Mathematics categories.
The problems of modern society are both complex and multidisciplinary. In spite of the apparent diversity of problems, tools developed in one context are often adaptable to an entirely different situation. The concepts of Lyapunov stability have given rise to many new notions that are important in applications. Relative to each concept, there exists a sufficient literature parallel to Lyapunov's theory of stability. It is natural to ask whether we can find a notion and develop the corresponding theory which unifies and includes a variety of known concepts of stability in a single set up. The answer is yes and it is the development of stability theory in terms of two measures. It is in this spirit the authors see the importance of the present monograph. Its aim is to present a systematic account of recent developments in the stability theory in terms of two distinct measures, describe the current state of the art, show the essential unity achieved by wealth of applications, and provide a unified general structure applicable to several nonlinear problems.