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author:

Wang, Peng (Wang, Peng.) [1] | Sang, Hong (Sang, Hong.) [2] | Huang, Chuangxia (Huang, Chuangxia.) [3] | Cao, Jinde (Cao, Jinde.) [4] | Abdel-Aty, Mahmoud (Abdel-Aty, Mahmoud.) [5]

Indexed by:

EI Scopus SCIE

Abstract:

In this article, we tackle the problem of analyzing dissipativity, via devising switching mechanisms, for switched positive Takagi-Sugeno (T-S) fuzzy systems with time-varying delay. To leverage the positivity properties of state, input, and output variables, a novel concept of dissipativity is developed, focusing on linear supply rates and linear copositive storage functionals. When state information is available, the state dependent switching mechanism satisfying a dwell time constraint is introduced dependent on the constructed time-varying multiple linear copositive storage functionals. This mechanism allows for solving the dissipativity issue for the entire system without imposing any solvability requirements on subsystems and reduces the switching frequency. In cases, where state information is unavailable, dissipativity is ensured by a dwell-time dependent switching mechanism. Further, all conditions guaranteeing the solvability of the problem are presented in the form of linear vector inequalities. Two simulation examples are finally offered, demonstrating that the proposed techniques are effective and superior.

Keyword:

Delays Dissipativity analysis dwell-time Focusing Fuzzy systems Lyapunov methods Nonlinear systems Stability criteria state-dependent switching switched positive systems Switches Takagi-Sugeno model time-varying delay Time-varying systems Vectors

Community:

  • [ 1 ] [Wang, Peng]Fuzhou Univ, Sch Math & Stat, Fuzhou 350108, Peoples R China
  • [ 2 ] [Sang, Hong]Dalian Maritime Univ, Coll Marine Elect Engn, Dalian 116026, Peoples R China
  • [ 3 ] [Huang, Chuangxia]Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China
  • [ 4 ] [Cao, Jinde]Southeast Univ, Sch Math, Nanjing 211189, Peoples R China
  • [ 5 ] [Cao, Jinde]Purple Mt Labs, Nanjing 211111, Peoples R China
  • [ 6 ] [Abdel-Aty, Mahmoud]Ahlia Univ, Deanship Grad Studies & Sci Res, Manama 10878, Bahrain
  • [ 7 ] [Abdel-Aty, Mahmoud]Sohag Univ, Fac Sci, Math Dept, Sohag 82524, Egypt

Reprint 's Address:

  • [Huang, Chuangxia]Changsha Univ Sci & Technol, Sch Math & Stat, Changsha 410114, Peoples R China;;[Cao, Jinde]Southeast Univ, Sch Math, Nanjing 211189, Peoples R China

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Source :

IEEE TRANSACTIONS ON FUZZY SYSTEMS

ISSN: 1063-6706

Year: 2025

Issue: 5

Volume: 33

Page: 1605-1616

1 0 . 7 0 0

JCR@2023

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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