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author:

Xu, F. (Xu, F..) [1] | Dong, L. (Dong, L..) [2] | Wang, D. (Wang, D..) [3] | Li, X. (Li, X..) [4] | Rakkiyappan, R. (Rakkiyappan, R..) [5]

Indexed by:

Scopus SCIE

Abstract:

In this paper, we investigate the stability properties of a general class of nonlinear impulsive switched systems that include both stable and unstable subsystems. By using multiple Lyapunov-functions and the dwell-time approach, several criteria on globally exponential stability are established. It is shown that by suitably controlling the switching between the stable and unstable subsystems, the globally exponential stability of the nonlinear impulsive switched systems can be achieved. Finally, an example is given to show the effectiveness of the derived results.

Keyword:

dwell-time globally exponential stability multiple Lyapunov functions nonlinear impulsive switched systems

Community:

  • [ 1 ] [Xu, F.]Shandong Normal Univ, Sch Math Sci, Jinan, Peoples R China
  • [ 2 ] [Li, X.]Shandong Normal Univ, Sch Math Sci, Jinan, Peoples R China
  • [ 3 ] [Dong, L.]Fuzhou Univ, Sch Econ & Management, Fuzhou 350002, Peoples R China
  • [ 4 ] [Wang, D.]Fudan Univ, Sch Comp Sci, Shanghai 200433, Peoples R China
  • [ 5 ] [Rakkiyappan, R.]Bharathiar Univ, Dept Math, Coimbatore, Tamil Nadu, India

Reprint 's Address:

  • [Xu, F.]Shandong Normal Univ, Sch Math Sci, Jinan, Peoples R China

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Source :

MATHEMATICAL NOTES

ISSN: 0001-4346

Year: 2015

Issue: 5-6

Volume: 97

Page: 803-810

0 . 4 2 5

JCR@2015

0 . 6 0 0

JCR@2023

ESI Discipline: MATHEMATICS;

ESI HC Threshold:86

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count: 10

SCOPUS Cited Count: 9

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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