Reachable set estimation for continuous-time impulsive switched nonlinear time-varying systems with delay and disturbance

This note is concerned with the problem of reachable set estimation for switched nonlinear time-varying systems with mixed time-varying delay, delayed impulse and disturbance. Based on a novel method which does not involve the usual Lyapunov-Krasovskii functional approach, sufficient conditions, under the designed average dwell time switching, are provided for the characterization of a special sphere such that all the states of the system converge exponentially within it. Moreover, an extension is available to the result of linear time-varying systems. Finally, two simulation results are illustrated by examples to show the validity. (c) 2021 Elsevier Inc. All rights reserved.

Automated summary

This note addresses the problem of reachable set estimation for switched nonlinear time-varying systems with mixed time-varying delay, delayed impulse, and disturbance. A novel method is proposed, which differs from the traditional Lyapunov-Krasovskii functional approach. By introducing the concept of average dwell time switching, sufficient conditions are given for the convergence of all system states within a special sphere. The results are extended to linear time-varying systems, and their validity is demonstrated through simulation examples.