A novel fixed-time stability of nonlinear impulsive systems: a two-stage comparison principle method. Issue 10 (27th July 2021)

• Record Type: Journal Article
• Authors: Wang, Zengyun; Cao, Jinde; Cai, Zuowei; Xue, Changfeng
• Is Part Of: International journal of systems science. Volume 52:Issue 10(2021)
• Page Start: 2114
• Page End: 2128
• Publication Date: 2021-07-27
• Subjects: Fixed-time stability -- nonlinear impulsive system -- fixed-time stable function set -- average impulsive interval -- improved Lyapunov function method; System analysis -- Periodicals; 003.3
• DOI: 10.1080/00207721.2021.1879307
• Languages: English
• ISSNs: 0020-7721

Abstract

Abstract : In this article, we elaborated on the problem of fixed time stability (FxTS) of nonlinear impulsive systems. For handing this problem, we propose a new concept of fixed-time stable function set (FTSFS). By taking advantage of definitions of FTSFS and average impulsive interval, a unified FxTS criterion of nonlinear impulsive systems is presented, which is applicable to both destabilising impulses and stabilising impulses. Comparing with the available work, the proposed Lyapunov function is allowed to possess indefinite derivatives when deriving from the state trajectory of nonlinear impulsive systems. Finally, two numerical examples are provided to support the proposed criterion.