Input‐To‐State Stability of Switched Systems Under the New Mode‐Dependent Dynamic Event‐Triggered Impulsive Control

ABSTRACT The aim of this article is to study non‐linear switched systems and obtain conditions of input‐to‐state stability (ISS) via dynamic event‐triggered impulsive control (DETIC) scheme, where the impulse instants are produced by a novel mode‐dependent dynamic event‐triggered impulsive mechanism (MD‐DETIM). The switching instants may not be synchronized with the event triggering instants. Different from conventional static event‐triggered impulsive control (ETIC), the MD‐DETIM can greatly decrease the number of data updates and significantly save communication transmission resource. Based on the mode‐dependent dynamic event‐triggered impulsive control (MD‐DETIC) scheme and the admissible edge‐dependent average dwell time switching rule, Lyapunov‐based results are created, which can effectively guarantee ISS of non‐linear switched systems. Meanwhile, a positive minimum bound is needed to obtain for triggering interval between any two adjacent triggering instants to exclude Zeno behavior. Eventually, two examples are provided to explicate the validity and less conservativeness of conclusions in this paper.