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author:

Wang, P. (Wang, P..) [1] | Sang, H. (Sang, H..) [2] | Ma, D. (Ma, D..) [3]

Indexed by:

Scopus

Abstract:

This article addresses the problems of dissipativity analysis and feedback dissipativity of discrete-time switched positive systems with time-varying delay. On the basis of the positivity property of the investigated system, the definition of linear  $(q,r)$ - $\alpha$ -dissipativity, utilizing the linear copositive storage functionals with linear supply rates, is first introduced. The switching among subsystems is orchestrated by a state-dependent switching policy that obeys prespecified dwell-time constraints. Second, in order to reduce the conservatism brought by the identical summation term functional for all positive subsystems, we propose a dwell-time-dependent linear copositive storage functionals involving summation terms which are diverse appearing in the functional. Then, less conservative criteria are developed to guarantee the system is strict  $(q,r)$ - $\alpha$ -dissipativity by resorting to the switching policy or the joint implementation of the switching policy and time-varying controllers for subsystems. Finally, the validity of the proposed techniques is illustrated through two examples, and the relationship among the minimum dwell time, performance index, and time-varying delay is also revealed. IEEE

Keyword:

Delay effects Delays Delay systems Dissipativity analysis dwell time linear copositive storage functional Stability analysis state-dependent switching policy switched positive delay systems Switched systems Switches Trajectory

Community:

  • [ 1 ] [Wang, P.]School of Mathematics and Statistics, Fuzhou University, Fuzhou, China
  • [ 2 ] [Sang, H.]College of Marine Electrical Engineering, Dalian Maritime University, Dalian, China
  • [ 3 ] [Ma, D.]State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, China

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Source :

IEEE Transactions on Systems, Man, and Cybernetics: Systems

ISSN: 2168-2216

Year: 2023

Issue: 7

Volume: 53

Page: 1-11

8 . 6

JCR@2023

8 . 6 0 0

JCR@2023

ESI HC Threshold:35

JCR Journal Grade:1

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 10

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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