Practical Stability Of Nonlinear Systems PDF Download
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| Author | : V. Lakshmikantham |
| Publisher | : World Scientific |
| Total Pages | : 228 |
| Release | : 1990 |
| Genre | : Computers |
| ISBN | : 9789810203566 |
Download Practical Stability of Nonlinear Systems Book in PDF, ePub and Kindle
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.
| Author | : Laura Celentano |
| Publisher | : Edizioni Nuova Cultura |
| Total Pages | : 72 |
| Release | : 2012 |
| Genre | : Mathematics |
| ISBN | : 8861347975 |
Download New Results on Practical Stability for Linear and Nonlinear Uncertain Systems Book in PDF, ePub and Kindle
| Author | : Ira Gura |
| Publisher | : |
| Total Pages | : 8 |
| Release | : 1965 |
| Genre | : Lyapunov stability |
| ISBN | : |
Download ASME 65-WA/AUT-19 Book in PDF, ePub and Kindle
| Author | : Lyubomir T. Gruyitch |
| Publisher | : CRC Press |
| Total Pages | : 336 |
| Release | : 2003-12-15 |
| Genre | : Mathematics |
| ISBN | : 9780203643679 |
Download Stability Domains Book in PDF, ePub and Kindle
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.
| Author | : V. Lakshmikantham |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 182 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 9401579393 |
Download Vector Lyapunov Functions and Stability Analysis of Nonlinear Systems Book in PDF, ePub and Kindle
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.
| Author | : Abdellatif Ben Makhlouf |
| Publisher | : Springer Nature |
| Total Pages | : 439 |
| Release | : 2023-11-06 |
| Genre | : Technology & Engineering |
| ISBN | : 3031379705 |
Download State Estimation and Stabilization of Nonlinear Systems Book in PDF, ePub and Kindle
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).
| Author | : M. Vidyasagar |
| Publisher | : SIAM |
| Total Pages | : 515 |
| Release | : 2002-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898719185 |
Download Nonlinear Systems Analysis Book in PDF, ePub and Kindle
When M. Vidyasagar wrote the first edition of Nonlinear Systems Analysis, most control theorists considered the subject of nonlinear systems a mystery. Since then, advances in the application of differential geometric methods to nonlinear analysis have matured to a stage where every control theorist needs to possess knowledge of the basic techniques because virtually all physical systems are nonlinear in nature. The second edition, now republished in SIAM's Classics in Applied Mathematics series, provides a rigorous mathematical analysis of the behavior of nonlinear control systems under a variety of situations. It develops nonlinear generalizations of a large number of techniques and methods widely used in linear control theory. The book contains three extensive chapters devoted to the key topics of Lyapunov stability, input-output stability, and the treatment of differential geometric control theory. Audience: this text is designed for use at the graduate level in the area of nonlinear systems and as a resource for professional researchers and practitioners working in areas such as robotics, spacecraft control, motor control, and power systems.
| Author | : Lyubomir T. Gruyitch |
| Publisher | : CRC Press |
| Total Pages | : 336 |
| Release | : 2003-12-15 |
| Genre | : Mathematics |
| ISBN | : 9780415308489 |
Download Stability Domains Book in PDF, ePub and Kindle
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.
| Author | : Francesco Amato |
| Publisher | : John Wiley & Sons |
| Total Pages | : 184 |
| Release | : 2018-10-08 |
| Genre | : Technology & Engineering |
| ISBN | : 1119140528 |
Download Finite-Time Stability: An Input-Output Approach Book in PDF, ePub and Kindle
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.
| Author | : Yongduan Song |
| Publisher | : CRC Press |
| Total Pages | : 327 |
| Release | : 2024-08-14 |
| Genre | : Technology & Engineering |
| ISBN | : 1040098754 |
Download Control of Nonlinear Systems Book in PDF, ePub and Kindle
The book Control of Nonlinear Systems–Stability and Performance fills a crucial gap in the field of nonlinear control systems by providing a comprehensive yet accessible treatment of the subject. Unlike many existing texts that are either too complex for beginners or omit essential topics, this book strikes the right balance of mathematical rigor and practicality. The main objective of the book is to simplify and unify the existing techniques for designing and analyzing control systems for nonlinear systems. It aims to alleviate confusion and difficulty in understanding these methods, making it an invaluable resource for students, researchers, and practitioners in the field. By presenting the material in a tutorial manner, the book enhances the reader's understanding of the design and analysis of a wide range of control methods for nonlinear systems. The emphasis on stability and performance highlights the practical relevance of the concepts discussed in the book. Overall, Control of Nonlinear Systems–Stability and Performance is a valuable contribution to the field of nonlinear control systems. Its emphasis on practical applications and its accessible presentation make it an indispensable resource for engineers seeking to enhance their knowledge and skills in this important area of control theory.
