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author:

Wang, Peng (Wang, Peng.) [1] (Scholars:王鹏) | Zhao, Jun (Zhao, Jun.) [2]

Indexed by:

EI Scopus SCIE

Abstract:

This study handles the issues of stability and guaranteed cost for switched positive systems based on a novel multiple linear copositive Lyapunov functions approach. Two different switching policies are devised. The first one relies on continuous time strategy and the other depends on the sampled-data strategy. The designed switching policies not only render the considered systems globally exponentially stable with a pre-specified adequate level of performance, but also decrease the switching frequency to rule out the Zeno behaviour. New stability conditions are presented in form of linear vector equality as well as linear vector inequalities, which can be readily solved by employing Linprog function. Moreover, based on the attained stability results, the authors further research an infinite time cost function. The effectiveness of the proposed methods is validated and illustrated via simulation results.

Keyword:

asymptotic stability attained stability results continuous time strategy continuous time systems copositive Lyapunov functions approach designed switching policies different switching policies guaranteed cost infinite time cost function linear systems linear vector equality linear vector inequalities Lyapunov methods mode-dependent new stability conditions sampled-data strategy stability switched positive systems switching frequency time-varying systems

Community:

  • [ 1 ] [Wang, Peng]Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 350108, Peoples R China
  • [ 2 ] [Wang, Peng]Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
  • [ 3 ] [Zhao, Jun]Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
  • [ 4 ] [Wang, Peng]Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China
  • [ 5 ] [Zhao, Jun]Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China

Reprint 's Address:

  • [Zhao, Jun]Northeastern Univ, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China;;[Zhao, Jun]Northeastern Univ, Coll Informat Sci & Engn, Shenyang 110819, Peoples R China

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Source :

IET CONTROL THEORY AND APPLICATIONS

ISSN: 1751-8644

Year: 2020

Issue: 3

Volume: 14

Page: 378-385

3 . 5 2 7

JCR@2020

2 . 2 0 0

JCR@2023

ESI Discipline: ENGINEERING;

ESI HC Threshold:132

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count: 9

SCOPUS Cited Count: 10

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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