Exponential Stability of Impulsive Switched Nonlinear Systems With Partial Unmeasurable States on Time Scales

Abstract

This paper investigates the stability of a class of partially unmeasurable nonlinear impulsive switched dynamical systems on time scales. It provides sufficient conditions for ensuring exponential stability of impulsive switched systems in hybrid time domains using Gronwall's inequality, dimensionality reduction technique, and time scale theory. These conditions apply to systems where nonlinearities affect both continuous and discrete subsystems. Stable strategies involving partial unmeasurable states are obtained. Furthermore, the proposed results allow the switched system to have incomplete measurable states. The effectiveness of these results is demonstrated by several examples, which are accompanied by simulations for comparison.