Lecture Notes in Control and Information Sciences

A Functional Analytic Approach

By: Michael I. Gil

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Paperback | 17 March 2005

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210 Pages

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Explicit Stability Conditions for Continuous Systems deals with non-autonomous linear and nonlinear continuous finite dimensional systems. Explicit conditions for the asymptotic, absolute, input-to-state and orbital stabilities are discussed. This monograph provides new tools for specialists in control system theory and stability theory of ordinary differential equations, with a special emphasis on the Aizerman problem. A systematic exposition of the approach to stability analysis based on estimates for matrix-valued functions is suggested and various classes of systems are investigated from a unified viewpoint.

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Preliminaries
Perturbations of Linear Systems
Linear Systems with Slowly Varying Coefficients
Linear Dissipative and Piecewise Constant Systems
Nonlinear Systems with Autonomous Linear Parts
The Aizerman Problem
Nonlinear Systems with Time-Variant Linear Parts
Essentially Nonlinear Systems
The Lur'e Type Systems
The Aizerman Type Problem for Nonautonomous Systems
Input - State Stability
Orbital Stability and Forced Oscillations
Positive and Nontrivial Steady States
Table of Contents provided by Publisher. All Rights Reserved.

Lecture Notes in Control and Information Sciences

A Functional Analytic Approach

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Paperback

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