Incremental stability of stochastic time‐varying impulsive and switching systems. (20th April 2021)

• Record Type: Journal Article
• Authors: Jiao, Ticao; Zong, Guangdeng; Park, Ju H.; Liu, Jian; Zhao, Yanlei
• Is Part Of: International journal of robust and nonlinear control. Volume 31:Number 11(2021)
• Page Start: 5460
• Page End: 5475
• Publication Date: 2021-04-20
• Subjects: contraction theory -- dwell time technique -- impulsive and switching systems -- incremental stability; Automatic control -- Periodicals; Control theory -- Periodicals; Nonlinear systems -- Periodicals; 629.836
• DOI: 10.1002/rnc.5548
• Languages: English
• ISSNs: 1049-8923

Abstract

Abstract: In this article, the incremental stability problem is addressed for stochastic time‐varying impulsive and switching systems. Both cases of stable continuous subsystems with destabilizing impulses and unstable continuous subsystems with stabilizing impulses are fully considered. By resorting to contraction theory and the Lyapunov function approach together with the dwell time technique, sufficient criteria are established to achieve practical incrementally globally asymptotic stability. Finally, the feasibility of these results is verified by a numerical example.