Input-to-State Stability of Switched Nonlinear Time-Delay Systems With Asynchronous Switching: Event-Triggered Switching Control.

This letter addresses the input-to-state stability (ISS) and integral ISS (iISS) problems for switched nonlinear time-delay systems (SNTDSs) with asynchronous switching by the event-triggered switching control (ETSC) technique, where the switching times are generated by a novel Lyapunov-based event-triggered mechanism (ETM). Based on the relationship between the new ETM and the jump strength of adjacent Lyapunov functions, sufficient conditions of ISS and iISS for SNTDSs with asynchronous switching are presented, which can exclude the Zeno behavior. Since switches only occur when the event is triggered, the burden of information transmission for SNTDSs can plummet. Finally, two practical examples are introduced to verify the effectiveness of our proposed methods.