Reachable Set Estimation of Switched Genetic Regulatory Networks with Mixed Delays and Bounded Disturbances*

Xian Zhang, Lina Zhang, Yu Xue, Xin Wang, Mouquan Shen, Jun Wei Zhu

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

1 Scopus citations

Abstract

This paper addresses the problem of reachable set estimation for switched genetic regulatory networks with mixed delays and bounded disturbances. A delay-dependent sufficient condition is investigated to guarantee that the reachable set of genetic regulatory networks under consideration is contained within a Cartesian product of two polytopes or spheres. The sufficient condition involves only some simple inequalities, which can be easily verified by using the usual tool software. A numerical example is given to present that the proposed method is effective. Compared with the Lyapunov-Krasovskii functional method that has been used in many literature, the proposed method have two advantages: (i) No Lyapunov- Krasovskii functional is required; and (ii) Less computational complexity is involved.

Original languageEnglish
Title of host publication2020 59th IEEE Conference on Decision and Control, CDC 2020
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages4324-4329
Number of pages6
ISBN (Electronic)9781728174471
DOIs
StatePublished - 14 Dec 2020
Event59th IEEE Conference on Decision and Control, CDC 2020 - Virtual, Jeju Island, Korea, Republic of
Duration: 14 Dec 202018 Dec 2020

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2020-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference59th IEEE Conference on Decision and Control, CDC 2020
Country/TerritoryKorea, Republic of
CityVirtual, Jeju Island
Period14/12/2018/12/20

Keywords

  • Bounded disturbances
  • Mixed delays
  • Reachable set estimation
  • Switched genetic regulatory networks

Fingerprint

Dive into the research topics of 'Reachable Set Estimation of Switched Genetic Regulatory Networks with Mixed Delays and Bounded Disturbances*'. Together they form a unique fingerprint.

Cite this