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author:

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

Indexed by:

EI

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. © The Institution of Engineering and Technology 2019.

Keyword:

Continuous time systems Cost benefit analysis Cost functions Lyapunov functions Switching frequency System stability

Community:

  • [ 1 ] [Wang, Peng]College of Mathematics and Computer Science, Fuzhou University, Fuzhou; 350108, China
  • [ 2 ] [Wang, Peng]State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang; 110819, China
  • [ 3 ] [Wang, Peng]College of Information Science and Engineering, Northeastern University, Shenyang; 110819, China
  • [ 4 ] [Zhao, Jun]State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang; 110819, China
  • [ 5 ] [Zhao, Jun]College of Information Science and Engineering, Northeastern University, Shenyang; 110819, China

Reprint 's Address:

  • [zhao, jun]college of information science and engineering, northeastern university, shenyang; 110819, china;;[zhao, jun]state key laboratory of synthetical automation for process industries, northeastern university, shenyang; 110819, 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 HC Threshold:132

JCR Journal Grade:1

CAS Journal Grade:2

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 11

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 0

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