Lyapunov functions that specify necessary and sufficient conditions of absolute stability of nonlinear nonstationary control systems. I
The authors find the general form of Lyapunov functions that specifies the necessary and sufficient conditions of absolute stability of systems with nonstationary nonlinearities satisfying sector constraints. The Lyapunov functions constructed are convex functions, and in general they are not continuously differentiable. Criteria of asymptotic stability of linear stationary systems and of differential inclusions are obtained.
scientific article; zbMATH DE number 3983029