Stability Theory And Related Topics In Dynamical Systems
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Stability Theory And Related Topics In Dynamical Systems
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Author : K Shiraiwa
language : en
Publisher: World Scientific
Release Date : 1989-09-01
Stability Theory And Related Topics In Dynamical Systems written by K Shiraiwa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-09-01 with Mathematics categories.
Stability Theory And Related Topics In Dynamical Systems
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Author : Kenichi Shiraiwa
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1989-01-01
Stability Theory And Related Topics In Dynamical Systems written by Kenichi Shiraiwa and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Differentiable dynamical systems categories.
Stability Of Dynamical Systems
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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2008
Stability Of Dynamical Systems written by 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 2008 with Differentiable dynamical systems categories.
In the analysis and synthesis of contemporary systems, engineers and scientists are frequently confronted with increasingly complex models that may simultaneously include components whose states evolve along continuous time and discrete instants; components whose descriptions may exhibit nonlinearities, time lags, transportation delays, hysteresis effects, and uncertainties in parameters; and components that cannot be described by various classical equations, as in the case of discrete-event systems, logic commands, and Petri nets. The qualitative analysis of such systems requires results for finite-dimensional and infinite-dimensional systems; continuous-time and discrete-time systems; continuous continuous-time and discontinuous continuous-time systems; and hybrid systems involving a mixture of continuous and discrete dynamics. Filling a gap in the literature, this textbook presents the first comprehensive stability analysis of all the major types of system models described above. Throughout the book, the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems, including digital control systems, nonlinear regulator systems, pulse-width-modulated feedback control systems, artificial neural networks (with and without time delays), digital signal processing, a class of discrete-event systems (with applications to manufacturing and computer load balancing problems) and a multicore nuclear reactor model. The book covers the following four general topics: * Representation and modeling of dynamical systems of the types described above * Presentation of Lyapunov and Lagrange stability theory for dynamical systems defined on general metric spaces * Specialization of this stability theory to finite-dimensional dynamical systems * Specialization of this stability theory to infinite-dimensional dynamical systems Replete with exercises and requiring basic knowledge of linear algebra, analysis, and differential equations, the work may be used as a textbook for graduate courses in stability theory of dynamical systems. The book may also serve as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.
Dynamical Systems And Related Topics Proceedings Of The International Conference
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Author : K Shiraiwa
language : en
Publisher: World Scientific
Release Date : 1991-11-29
Dynamical Systems And Related Topics Proceedings Of The International Conference written by K Shiraiwa and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-11-29 with categories.
This volume contains the proceedings of a satellite conference of the 1990 International Congress of Mathematicians. The main topics presented are mathematical theory of dynamical systems, complex dynamical systems, ergodic theory, chaos, and applications.
Stability Theory And Related Topics In Dynamical Systems Held At The Department Of Mathematics Nagoya University In Japan From October 17 19 1988
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Author : Conference of Stability Theory and related topics in Dynamical Systems (1988 : Nagoya University)
language : en
Publisher:
Release Date : 1989
Stability Theory And Related Topics In Dynamical Systems Held At The Department Of Mathematics Nagoya University In Japan From October 17 19 1988 written by Conference of Stability Theory and related topics in Dynamical Systems (1988 : Nagoya University) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with categories.
Dynamical Systems
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Author : Rafael Labarca
language : en
Publisher: CRC Press
Release Date : 1993-02-22
Dynamical Systems written by Rafael Labarca and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993-02-22 with Mathematics categories.
In at least five countries in Latin America, high level research in the field in taking place. To stimulate this development both at home and abroad, Chilean mathematicians have been promoting international meetings like the III International School of Dynamical Systems, which took place at the Universidad de Santiago de Chile-Santiago in 1990. A number of distinguished mathematicians were present at the meeting, side by side with younger people interested in the subject. Several of the participants submitted original contributions to these proceedings of the school. The topics of the papers are central to dynamics: ergodic theory, real and complex foliations, fractal dimensions, polynomial vector fields, hyperbolicity, and expansive maps. Notes on the ergodic theory of plane billiards are also included. This book will be of particular interest to researchers and graduate students working in mathematics, particularly in ordinary differential equations, bifurcation theory, and dynamical systems. Also those working in mathematical physics and physics.
Stability Theory Of Switched Dynamical Systems
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Author : Zhendong Sun
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-01-06
Stability Theory Of Switched Dynamical Systems written by Zhendong Sun 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 2011-01-06 with Technology & Engineering categories.
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.
Bifurcation Theory And Methods Of Dynamical Systems
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Author : Dingjun Luo
language : en
Publisher: World Scientific
Release Date : 1997
Bifurcation Theory And Methods Of Dynamical Systems written by Dingjun Luo and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Science categories.
Dynamical bifurcation theory is concerned with the changes that occur in the global structure of dynamical systems as parameters are varied. This book makes recent research in bifurcation theory of dynamical systems accessible to researchers interested in this subject. In particular, the relevant results obtained by Chinese mathematicians are introduced as well as some of the works of the authors which may not be widely known. The focus is on the analytic approach to the theory and methods of bifurcations. The book prepares graduate students for further study in this area, and it serves as a ready reference for researchers in nonlinear sciences and applied mathematics.
Geometry And Analysis In Dynamical Systems Proceedings Of The Rims Conference
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Author : H Ito
language : en
Publisher: World Scientific
Release Date : 1994-10-10
Geometry And Analysis In Dynamical Systems Proceedings Of The Rims Conference written by H Ito and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-10 with categories.
Fuzzy logic has found applications in an incredibly wide range of areas in the relatively short time since its conception. It was invented by Lotfi Zadeh, a leading systems expert, so it is perhaps not surprising that system theory is one of the areas in which fuzzy logic has made a profound impact. Fuzzy logic combined with the paradigm of computing with words allows the use and manipulation of human knowledge and reasoning in the modeling and control of dynamical systems.This monograph presents new approaches to the construction of fuzzy models and to the design of fuzzy controllers. The emphasis is on developing methods that allow systematic design on the one hand and mathematical analysis of the resulting system on the other. In particular, the methods described allow rigorous analysis of the stability and robustness of the systems, which are crucial issues in control theory.The first theme of the book is a new approach to the systematic design and analysis of fuzzy controllers, given linguistic information concerning the plant and the control objective. The new approach, fuzzy Lyapunov synthesis, is a computing with words version of the well-known (classical) Lyapunov synthesis method.The second theme of the book is to show that fuzzy controllers are in fact solutions of a nonlinear optimal control problem. The authors formulate a novel nonlinear optimal control problem, consisting of a new state-space model — referred to as the hyperbolic state-space model — and a new cost functional, and show that its solution is a fuzzy controller. This leads to a new framework for fuzzy modeling and control that combines the advantages of the fuzzy world, such as linguistic interpretability, and of classical optimal control theory, such as guaranteed stability and robustness.
Some Problems On The Theory Of Dynamical Systems In Applied Sciences Proceedings Of The Symposium
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Author : H Kawakami
language : en
Publisher: World Scientific
Release Date : 1991-07-30
Some Problems On The Theory Of Dynamical Systems In Applied Sciences Proceedings Of The Symposium written by H Kawakami and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-07-30 with categories.