Explicit Stability Conditions for Continuous Systems
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.
Presents new approaches in stability analysis of various systems, which is still one of the most burning problems of control theoryDeals with nonautonomous linear and nonlinear continuous finite dimensional systemsUseful for researchers as well as graduate students in control and applied mathematics