Qualitative theory of dynamical systems : the role of stability preserving mappings

>> Google Books

所蔵情報QRコード

Qualitative theory of dynamical systems : the role of stability preserving mappings / Anthony N. Michel, Kaining Wang, Bo Hu

版:

2nd ed. , rev. and expanded

資料種別:

図書

出版情報:

New York : Marcel Dekker, c2001

形態:

xv, 707 p. ; 24 cm

シリーズ名:

Monographs and textbooks in pure and applied mathematics ; 239 <BA00046446>

著者名:

ISBN:

9780824705268 [0824705262]

書誌ID:

BA5029916X

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

注記:

Includes bibliographical references and index

主題:

Differentiable dynamical systems

言語:

英語

目次情報:

Preface to the Second Edition

Preface to the First Edition

Introduction / 1.：

Dynamical Systems / 1.1：

Stability Preserving Mappings / 1.2：

Stability of Motion / 1.3：

Finite Dimensional Systems / 1.4：

Infinite Dimensional Systems / 1.5：

Differential Inclusions / 1.6：

Hybrid Dynamical Systems / 1.7：

Stability of Hybrid and Discontinuous Dynamical Systems / 1.8：

Case Studies in Hybrid and Discontinuous Dynamical Systems / 1.9：

Bibliography

Notation / 2.：

Ordinary Differential Equations / 2.2：

Ordinary Difference Equations / 2.4：

Ordinary Differential Inequalities / 2.5：

Ordinary Difference Inequalities / 2.6：

Functional Differential Equations / 2.7：

Volterra Integrodifferential Equations / 2.8：

Semigroups / 2.9：

Partial Differential Equations / 2.10：

Notes and References / 2.11：

Problems / 2.12：

Invariant Sets / 3.：

Qualitative Characterizations / 3.2：

Comparison Theorems / 3.3：

Applications / 3.5：

A Perspective / 3.6：

Systems of Differential and Difference Inequalities as Comparison Systems / 3.7：

Results Involving Quasimonotonicity Conditions: Continuous-Time Case / 4.2：

Results Involving Monotonicity Conditions: Discrete-Time Case / 4.3：

The Principal Lyapunov Theorems for General Dynamical Systems / 4.4：

Converse Theorems / 4.5：

Autonomous Systems / 4.6：

Invariance Theory / 4.7：

Uniqueness of Motions / 4.8：

Lyapunov Functions and Stability Preserving Mappings / 4.9：

Applications to Discrete Event Systems / 4.10：

Preliminaries / 4.11：

Stability and Boundedness / 5.2：

Instability / 5.3：

Comparison Theory / 5.4：

Applications: Absolute Stability of Regulator Systems / 5.7：

Applications to Artificial Neural Networks / 5.8：

Applications to Digital Filters / 5.9：

Hybrid Systems / 5.10：

An Application to Artificial Neural Networks with Time Delays / 6.8：

Application to a Multicore Nuclear Reactor Model / 6.9：

Stability Analysis / 6.10：

Dynamical Systems Determined by Differential Inequalities / 7.3：

Applications to Robust Stability / 7.5：

Applications to Absolute Stability of Regulator Systems / 7.6：

Applications to a Class of Nonlinear Circuits and Artificial Neural Networks / 7.7：

A Model for General Hybrid Dynamical Systems / 7.8：

Some Examples of Hybrid Dynamical Systems Defined on Generalized Time / 8.2：

Some Qualitative Characterizations of Hybrid Dynamical Systems / 8.3：

Embedding of Hybrid Dynamical Systems into Dynamical Systems Defined on Real Time R[superscript +] / 8.4：

Some Examples of Hybrid Dynamical Systems Defined on R[superscript +] / 8.5：

Stability of Discontinuous Dynamical Systems: Results Involving Stability Preserving Mappings / 8.6：

The Principal Lyapunov Theorems for Discontinuous Dynamical Systems / 9.2：

Results Involving Vector Lyapunov Functions / 9.3：

Interconnected Systems / 9.5：

Some Qualitative Properties of Sampled-Data Control Systems / 9.6：

Stability Analysis of Multirate Digital Control Systems / 10.2：

Stability Analysis of Pulse-Width-Modulated Feedback Control Systems / 10.3：

A Class of Variable Structure Systems: Hopfield Neural Nets with Infinite Gain Amplifiers / 10.4：

Dynamical Systems Subjected to State Saturation Constraints / 10.5：

Index / 10.6：

Preface to the Second Edition

Preface to the First Edition

Introduction / 1.：

Dynamical Systems / 1.1：

Stability Preserving Mappings / 1.2：

Stability of Motion / 1.3：

続きを見る

東工大ブックレビュー

類似資料:

1 図書 Dynamical systems with saturation nonlinearities : analysis and design (: gw ; : us) Liu, Derong, 1963-, Michel, Anthony N. Springer-Verlag	7 図書 Spectral theory of dynamical systems (: sz ; : us) Nadkarni, M. G. (Mahendra Ganpatrao), 1939- Birkhauser
2 図書 Dynamic impulse systems : theory and applications Zavalishchin, S. T., Sesekin, A. N. Kluwer Academic	8 図書 Dynamical systems, ergodic theory and applications Sinai, I︠A︡. G., 1935-, Bunimovich, L. A. Springer-Verlag
3 図書 Qualitative analysis of large scale dynamical systems Michel, Anthony N., Miller, Richard K Academic Press	9 図書 Introduction to the modern theory of dynamical systems (: hardback) Katok, A. B., 1944-, Hasselblatt, Boris Cambridge University Press
4 図書 Dynamical systems : stability, symbolic dynamics, and chaos Robinson, C. (Clark) CRC Press	10 図書 An introduction to the theory of smooth dynamical systems Szlenk, W. Wiley, PWN-Polish Scientific Publishers
5 図書 Dynamical systems : stability, symbolic dynamics, and chaos Robinson, C. (Clark) CRC Press	11 図書 Fundamentals of dynamical systems and bifurcation theory Medved̕, Milan, RNDr A. Hilger
6 図書 Dynamical systems and semisimple groups : an introduction Feres, Renato, 1962- Cambridge University Press	12 図書 Discrete dynamical systems : theory and applications (: hard ; : pbk) Sandefur, James T. Clarendon Press, Oxford University Press