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1.

図書

図書
Anthony N. Michel, Kaining Wang, Bo Hu
出版情報: New York : Marcel Dekker, c2001  xv, 707 p. ; 24 cm
シリーズ名: Monographs and textbooks in pure and applied mathematics ; 239
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目次情報: 続きを見る
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.:
2.

図書

図書
Anthony N. Michel, Charles J. Herget
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1981  xi, 484 p. ; 24 cm
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3.

図書

図書
Derong Liu and Anthony N. Michel
出版情報: London ; Berlin ; New York : Springer-Verlag, c1994  xiv, 191 p. ; 24 cm
シリーズ名: Lecture notes in control and information sciences ; 195
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4.

図書

図書
Anthony N. Michel, Richard K. Miller
出版情報: New York : Academic Press, 1977  xv, 289 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 134
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