Indexed by:
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:
Reprint 's Address:
Email:
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:
SCOPUS Cited Count: 10
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 1
Affiliated Colleges: