Download or read book Explicit Stability Conditions for Continuous Systems written by Michael I. Gil and published by Springer. This book was released on 2009-09-02 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.