Stability conditions for nonlinear control processes using Lyapunov functions with discontinuous derivatives

AbstractThe concept of a state space decomposition is used to define a wide class of Lyapunov functions with discontinuous derivatives for stability analysis. This class is used to derive a set of sufficient conditions for global asymptotic stability of nonlinear control processes. The work has applications, in particular, to the stability analysis of control processes governed by discontinuous closed-loop control laws (e.g., bang-bang)