## Qualitative Analysis of Large Scale Dynamical SystemsThis book develops a unified approach to qualitative analysis of large scale systems described by many diversified types of equations. |

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### Contents

1 | |

12 | |

Chapter III Discrete Time Systems and Sampled Data Systems | 91 |

Chapter IV Systems Described by Stochastic Differential Equations | 109 |

Chapter V InfiniteDimensional Systems | 134 |

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### Common terms and phrases

apply Banach spaces Chapter choose Co-semigroup composite system conic with constants consider continuous function Corollary decomposition decrescent defined denotes domain dynamical systems eigenvalues equilibrium Example exponentially stable feedback systems finite following result follows from Theorem functional differential equations gain Hilbert space inequality integrodifferential equations interconnected systems interconnecting structure interior conic isolated subsystems large scale systems Lipschitz continuous lšs Lyapunov stability M-matrix margin of boundedness Michel negative definite nonlinear norm notation ordinary differential equations partial differential equations positive constants positive definite possesses Property proof of Theorem satisfied semigroup solution of composite solution of Eq specific stability results stochastic differential equations subsystem 9 successive principal minors system 9 systems described test matrix theory trivial solution uniformly asymptotically stable uniformly stable unstable vector Lyapunov functions Wiener process