Explicit Stability Conditions for Continuous Systems: A Functional Analytic Approach

✍ Scribed by Michael I. Gil

Publisher: Springer
Year: 2005
Tongue: English
Leaves: 198
Series: Lecture Notes in Control and Information Sciences
Edition: 1
Category: Library

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✦ Synopsis

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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