Michael I. Gil’ “Explicit Stability Conditions for Continuous Systems: A Functional Analytic Approach”
Springer | 2005-04-29 | ISBN: 3540239847 | 196 pages | PDF | 1,8 Mb

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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