Finite-time annular domain stability of impulsive switched systems: mode-dependent parameter approach. Issue 6 (3rd June 2019)

• Record Type: Journal Article
• Authors: Gao, Lijun; Luo, Fangmei; Yan, Zhiguo
• Is Part Of: International journal of control. Volume 92:Issue 6(2019)
• Page Start: 1381
• Page End: 1392
• Publication Date: 2019-06-03
• Subjects: Finite-time annular domain stability -- impulsive switched systems -- mode-dependent parameter -- average impulsive switched interval; Automatic control -- Periodicals; Electronic journals; 629.8
• DOI: 10.1080/00207179.2017.1396360
• Languages: English
• ISSNs: 0020-7179

Abstract

ABSTRACT: This paper investigates the finite-time stability of impulsive switched systems. By applying mode-dependent parameter approach and average impulsive switched interval technique, the conditions that guarantee the finite-time annular domain stability and finite-time annular domain boundedness for general linear and nonlinear impulsive switched systems are established. Meanwhile, the superiority of mode-dependent parameter approach over common parameter approach is analysed. Also, we consider the effect of different impulsive strengths and draw a less conservative conclusion. Moreover, we extend the conclusion from nonlinear impulsive switched systems to linear impulsive switched systems, and a new sufficient condition for state feedback controllers is proposed on the basis of coupled matrix inequalities. Furthermore, for systems containing external disturbance, we obtain a sufficient condition of finite-time annular domain boundedness. Finally, we present two examples to illustrate the effectiveness of the results.