Finite-time stability of nonlinear time-varying systems with saturated impulse inputs

The aim of this paper is to analyze the finite-time stability (FTS) of nonlinear time-varying systems with saturated impulse inputs and further analyze the finite-time contractive stability (FTCS). By employing theories of convex analysis, impulsive control, matrix inequality and Lyapunov function, several results about FTS and FTCS of nonlinear time-varying systems with saturated impulse inputs are obtained. The simulation examples show the validation of the proposed results.

Automated summary

This paper aims to analyze the finite-time stability and finite-time contractive stability in nonlinear time-varying systems with saturated impulse inputs. By using theories of convex analysis, impulsive control, matrix inequality, and Lyapunov function, several results about finite-time stability and finite-time contractive stability are obtained and validated through simulation examples.