Lyapunov type functions for nonlinear impulsive control systems: monotonicity conditions and applications
This paper is devoted to the study of Lyapunov type functions relative to an impulsive control system with trajectories of bounded variation and impulsive controls (regular vector measures). We focus on the definitions and infinitesimal properties of strongly and weakly monotone Lyapunov type functions. As an application of the Lyapunov type functions, we consider estimates for integral funnels of trajectories
of impulsive systems.