Event-triggered delayed impulsive control for input-to-state stability of nonlinear impulsive systems. (February 2023)

• Record Type: Journal Article
• Authors: Wang, Mingzhu; Li, Peng; Li, Xiaodi
• Is Part Of: Nonlinear analysis. Volume 47(2023)
• Publication Date: 2023-02
• Subjects: Event-triggered impulsive control -- Nonlinear impulsive systems -- Input-to-state stability -- Integral input-to-state stability -- Delayed impulses; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nahs.2022.101277
• Languages: English
• ISSNs: 1751-570X

Abstract

Abstract: This paper studies the input-to-state stability ( ISS ) and integral input-to-state stability ( iISS ) of nonlinear impulsive systems in the framework of event-triggered impulsive control ( ETIC ), where the stabilizing effect of time delays in impulses is fully considered. Some sufficient conditions which can avoid Zeno behavior and guarantee the ISS/iISS property of impulsive systems are proposed, where external inputs are considered in both the continuous dynamics and impulsive dynamics. A novel event-triggered delayed impulsive control ( ETDIC ) strategy which establishes a relationship among event-triggered parameters, impulse strength and time delays in impulses is presented. It is shown that time delays in impulses can contribute to the stabilization of impulsive systems in ISS/iISS sense. Finally, the effectiveness of the proposed theoretical results is illustrated by two numerical examples.