Stability Analysis of Neural Networks

Stability Analysis of Neural Networks

Author: Grienggrai Rajchakit

Publisher: Springer Nature

Published: 2021-12-05

Total Pages: 415

ISBN-13: 9811665346

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This book discusses recent research on the stability of various neural networks with constrained signals. It investigates stability problems for delayed dynamical systems where the main purpose of the research is to reduce the conservativeness of the stability criteria. The book mainly focuses on the qualitative stability analysis of continuous-time as well as discrete-time neural networks with delays by presenting the theoretical development and real-life applications in these research areas. The discussed stability concept is in the sense of Lyapunov, and, naturally, the proof method is based on the Lyapunov stability theory. The present book will serve as a guide to enable the reader in pursuing the study of further topics in greater depth and is a valuable reference for young researcher and scientists.


Book Synopsis Stability Analysis of Neural Networks by : Grienggrai Rajchakit

Download or read book Stability Analysis of Neural Networks written by Grienggrai Rajchakit and published by Springer Nature. This book was released on 2021-12-05 with total page 415 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses recent research on the stability of various neural networks with constrained signals. It investigates stability problems for delayed dynamical systems where the main purpose of the research is to reduce the conservativeness of the stability criteria. The book mainly focuses on the qualitative stability analysis of continuous-time as well as discrete-time neural networks with delays by presenting the theoretical development and real-life applications in these research areas. The discussed stability concept is in the sense of Lyapunov, and, naturally, the proof method is based on the Lyapunov stability theory. The present book will serve as a guide to enable the reader in pursuing the study of further topics in greater depth and is a valuable reference for young researcher and scientists.


Stability Analysis and State Estimation of Memristive Neural Networks

Stability Analysis and State Estimation of Memristive Neural Networks

Author: Hongjian Liu

Publisher: CRC Press

Published: 2021-08-16

Total Pages: 237

ISBN-13: 1000415007

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Unifies existing and emerging concepts concerning delayed discrete memristive neural networks with an emphasis on a variety of network-induced phenomena Captures recent advances of theories, techniques, and applications of delayed discrete memristive neural networks from a network-oriented perspective Provides a series of latest results in two popular yet interrelated areas, stability analysis and state estimation of neural networks Exploits a unified framework for analysis and synthesis by designing new tools and techniques in combination with conventional theories of systems science, control engineering and signal processing Gives simulation examples in each chapter to reflect the engineering practice


Book Synopsis Stability Analysis and State Estimation of Memristive Neural Networks by : Hongjian Liu

Download or read book Stability Analysis and State Estimation of Memristive Neural Networks written by Hongjian Liu and published by CRC Press. This book was released on 2021-08-16 with total page 237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unifies existing and emerging concepts concerning delayed discrete memristive neural networks with an emphasis on a variety of network-induced phenomena Captures recent advances of theories, techniques, and applications of delayed discrete memristive neural networks from a network-oriented perspective Provides a series of latest results in two popular yet interrelated areas, stability analysis and state estimation of neural networks Exploits a unified framework for analysis and synthesis by designing new tools and techniques in combination with conventional theories of systems science, control engineering and signal processing Gives simulation examples in each chapter to reflect the engineering practice


Stability Analysis of Recurrent Neural Networks with Applications

Stability Analysis of Recurrent Neural Networks with Applications

Author: James N. Knight

Publisher:

Published: 2008

Total Pages: 308

ISBN-13:

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Book Synopsis Stability Analysis of Recurrent Neural Networks with Applications by : James N. Knight

Download or read book Stability Analysis of Recurrent Neural Networks with Applications written by James N. Knight and published by . This book was released on 2008 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Stability Analysis of Dynamical Neural Networks

Stability Analysis of Dynamical Neural Networks

Author: S. Arik

Publisher:

Published: 1997

Total Pages:

ISBN-13:

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Book Synopsis Stability Analysis of Dynamical Neural Networks by : S. Arik

Download or read book Stability Analysis of Dynamical Neural Networks written by S. Arik and published by . This book was released on 1997 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:


Complex-Valued Neural Networks Systems with Time Delay

Complex-Valued Neural Networks Systems with Time Delay

Author: Ziye Zhang

Publisher: Springer Nature

Published: 2022-11-05

Total Pages: 236

ISBN-13: 981195450X

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This book provides up-to-date developments in the stability analysis and (anti-)synchronization control area for complex-valued neural networks systems with time delay. It brings out the characteristic systematism in them and points out further insight to solve relevant problems. It presents a comprehensive, up-to-date, and detailed treatment of dynamical behaviors including stability analysis and (anti-)synchronization control. The materials included in the book are mainly based on the recent research work carried on by the authors in this domain. The book is a useful reference for all those from senior undergraduates, graduate students, to senior researchers interested in or working with control theory, applied mathematics, system analysis and integration, automation, nonlinear science, computer and other related fields, especially those relevant scientific and technical workers in the research of complex-valued neural network systems, dynamic systems, and intelligent control theory.


Book Synopsis Complex-Valued Neural Networks Systems with Time Delay by : Ziye Zhang

Download or read book Complex-Valued Neural Networks Systems with Time Delay written by Ziye Zhang and published by Springer Nature. This book was released on 2022-11-05 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides up-to-date developments in the stability analysis and (anti-)synchronization control area for complex-valued neural networks systems with time delay. It brings out the characteristic systematism in them and points out further insight to solve relevant problems. It presents a comprehensive, up-to-date, and detailed treatment of dynamical behaviors including stability analysis and (anti-)synchronization control. The materials included in the book are mainly based on the recent research work carried on by the authors in this domain. The book is a useful reference for all those from senior undergraduates, graduate students, to senior researchers interested in or working with control theory, applied mathematics, system analysis and integration, automation, nonlinear science, computer and other related fields, especially those relevant scientific and technical workers in the research of complex-valued neural network systems, dynamic systems, and intelligent control theory.


Dynamic Systems with Time Delays: Stability and Control

Dynamic Systems with Time Delays: Stability and Control

Author: Ju H. Park

Publisher: Springer Nature

Published: 2019-08-29

Total Pages: 335

ISBN-13: 9811392544

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This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay systems in continuous and discrete time domain, and presents corresponding stability conditions for the nominal system and an applicable nonlinear system. Next, it investigates several control problems for dynamic systems with delays including H(infinity) control problem Event-triggered control problems; Dynamic output feedback control problems; Reliable sampled-data control problems. Finally, some application topics covering filtering, state estimation, and synchronization are considered. The book will be a valuable resource and guide for graduate students, scientists, and engineers in the system sciences and control communities.


Book Synopsis Dynamic Systems with Time Delays: Stability and Control by : Ju H. Park

Download or read book Dynamic Systems with Time Delays: Stability and Control written by Ju H. Park and published by Springer Nature. This book was released on 2019-08-29 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents up-to-date research developments and novel methodologies to solve various stability and control problems of dynamic systems with time delays. First, it provides the new introduction of integral and summation inequalities for stability analysis of nominal time-delay systems in continuous and discrete time domain, and presents corresponding stability conditions for the nominal system and an applicable nonlinear system. Next, it investigates several control problems for dynamic systems with delays including H(infinity) control problem Event-triggered control problems; Dynamic output feedback control problems; Reliable sampled-data control problems. Finally, some application topics covering filtering, state estimation, and synchronization are considered. The book will be a valuable resource and guide for graduate students, scientists, and engineers in the system sciences and control communities.


Qualitative Analysis and Control of Complex Neural Networks with Delays

Qualitative Analysis and Control of Complex Neural Networks with Delays

Author: Zhanshan Wang

Publisher: Springer

Published: 2015-07-18

Total Pages: 398

ISBN-13: 3662474840

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This book focuses on the stability of the dynamical neural system, synchronization of the coupling neural system and their applications in automation control and electrical engineering. The redefined concept of stability, synchronization and consensus are adopted to provide a better explanation of the complex neural network. Researchers in the fields of dynamical systems, computer science, electrical engineering and mathematics will benefit from the discussions on complex systems. The book will also help readers to better understand the theory behind the control technique and its design.


Book Synopsis Qualitative Analysis and Control of Complex Neural Networks with Delays by : Zhanshan Wang

Download or read book Qualitative Analysis and Control of Complex Neural Networks with Delays written by Zhanshan Wang and published by Springer. This book was released on 2015-07-18 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the stability of the dynamical neural system, synchronization of the coupling neural system and their applications in automation control and electrical engineering. The redefined concept of stability, synchronization and consensus are adopted to provide a better explanation of the complex neural network. Researchers in the fields of dynamical systems, computer science, electrical engineering and mathematics will benefit from the discussions on complex systems. The book will also help readers to better understand the theory behind the control technique and its design.


Stability Analysis of Recurrent Neural Networks Using Dissipativity

Stability Analysis of Recurrent Neural Networks Using Dissipativity

Author: Nam Hoai Nguyen

Publisher:

Published: 2012

Total Pages: 95

ISBN-13:

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Book Synopsis Stability Analysis of Recurrent Neural Networks Using Dissipativity by : Nam Hoai Nguyen

Download or read book Stability Analysis of Recurrent Neural Networks Using Dissipativity written by Nam Hoai Nguyen and published by . This book was released on 2012 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt:


Stable Adaptive Neural Network Control

Stable Adaptive Neural Network Control

Author: S.S. Ge

Publisher: Springer Science & Business Media

Published: 2013-03-09

Total Pages: 296

ISBN-13: 1475765770

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Recent years have seen a rapid development of neural network control tech niques and their successful applications. Numerous simulation studies and actual industrial implementations show that artificial neural network is a good candidate for function approximation and control system design in solving the control problems of complex nonlinear systems in the presence of different kinds of uncertainties. Many control approaches/methods, reporting inventions and control applications within the fields of adaptive control, neural control and fuzzy systems, have been published in various books, journals and conference proceedings. In spite of these remarkable advances in neural control field, due to the complexity of nonlinear systems, the present research on adaptive neural control is still focused on the development of fundamental methodologies. From a theoretical viewpoint, there is, in general, lack of a firmly mathematical basis in stability, robustness, and performance analysis of neural network adaptive control systems. This book is motivated by the need for systematic design approaches for stable adaptive control using approximation-based techniques. The main objec tives of the book are to develop stable adaptive neural control strategies, and to perform transient performance analysis of the resulted neural control systems analytically. Other linear-in-the-parameter function approximators can replace the linear-in-the-parameter neural networks in the controllers presented in the book without any difficulty, which include polynomials, splines, fuzzy systems, wavelet networks, among others. Stability is one of the most important issues being concerned if an adaptive neural network controller is to be used in practical applications.


Book Synopsis Stable Adaptive Neural Network Control by : S.S. Ge

Download or read book Stable Adaptive Neural Network Control written by S.S. Ge and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent years have seen a rapid development of neural network control tech niques and their successful applications. Numerous simulation studies and actual industrial implementations show that artificial neural network is a good candidate for function approximation and control system design in solving the control problems of complex nonlinear systems in the presence of different kinds of uncertainties. Many control approaches/methods, reporting inventions and control applications within the fields of adaptive control, neural control and fuzzy systems, have been published in various books, journals and conference proceedings. In spite of these remarkable advances in neural control field, due to the complexity of nonlinear systems, the present research on adaptive neural control is still focused on the development of fundamental methodologies. From a theoretical viewpoint, there is, in general, lack of a firmly mathematical basis in stability, robustness, and performance analysis of neural network adaptive control systems. This book is motivated by the need for systematic design approaches for stable adaptive control using approximation-based techniques. The main objec tives of the book are to develop stable adaptive neural control strategies, and to perform transient performance analysis of the resulted neural control systems analytically. Other linear-in-the-parameter function approximators can replace the linear-in-the-parameter neural networks in the controllers presented in the book without any difficulty, which include polynomials, splines, fuzzy systems, wavelet networks, among others. Stability is one of the most important issues being concerned if an adaptive neural network controller is to be used in practical applications.


Radial Basis Function (RBF) Neural Network Control for Mechanical Systems

Radial Basis Function (RBF) Neural Network Control for Mechanical Systems

Author: Jinkun Liu

Publisher: Springer Science & Business Media

Published: 2013-01-26

Total Pages: 375

ISBN-13: 3642348165

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Radial Basis Function (RBF) Neural Network Control for Mechanical Systems is motivated by the need for systematic design approaches to stable adaptive control system design using neural network approximation-based techniques. The main objectives of the book are to introduce the concrete design methods and MATLAB simulation of stable adaptive RBF neural control strategies. In this book, a broad range of implementable neural network control design methods for mechanical systems are presented, such as robot manipulators, inverted pendulums, single link flexible joint robots, motors, etc. Advanced neural network controller design methods and their stability analysis are explored. The book provides readers with the fundamentals of neural network control system design. This book is intended for the researchers in the fields of neural adaptive control, mechanical systems, Matlab simulation, engineering design, robotics and automation. Jinkun Liu is a professor at Beijing University of Aeronautics and Astronautics.


Book Synopsis Radial Basis Function (RBF) Neural Network Control for Mechanical Systems by : Jinkun Liu

Download or read book Radial Basis Function (RBF) Neural Network Control for Mechanical Systems written by Jinkun Liu and published by Springer Science & Business Media. This book was released on 2013-01-26 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Radial Basis Function (RBF) Neural Network Control for Mechanical Systems is motivated by the need for systematic design approaches to stable adaptive control system design using neural network approximation-based techniques. The main objectives of the book are to introduce the concrete design methods and MATLAB simulation of stable adaptive RBF neural control strategies. In this book, a broad range of implementable neural network control design methods for mechanical systems are presented, such as robot manipulators, inverted pendulums, single link flexible joint robots, motors, etc. Advanced neural network controller design methods and their stability analysis are explored. The book provides readers with the fundamentals of neural network control system design. This book is intended for the researchers in the fields of neural adaptive control, mechanical systems, Matlab simulation, engineering design, robotics and automation. Jinkun Liu is a professor at Beijing University of Aeronautics and Astronautics.