Robust finite-time passivity for discrete-time genetic regulatory networks with Markovian jumping parameters

R. Sakthivel, M Sathishkumar., B. Kaviarasan, S. Marshal Anthoni

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)

Abstract

This article addresses the issue of robust finitetime passivity for a class of uncertain discrete-time genetic regulatory networks (GRNs) with time-varying delays and Markovian jumping parameters. By constructing a proper Lyapunov-Krasovskii functional involving the lower and upper bounds of time delays, a new set of sufficient conditions is obtained in terms of linear matrix inequalities (LMIs), which guarantees the finite-time boundedness and finite-time passivity of the addressed GRNs for all admissible uncertainties and satisfies the given passive performance index. More precisely, the conditions are obtained with respect to the finite-time interval, while the exogenous disturbances are unknown but energy bounded. Furthermore, the Schur complement together with reciprocally convex optimisation approach is used to simplify the derivation in the main results. Finally, three numerical examples are provided to illustrate the validity of the obtained results.

Original languageEnglish
Pages (from-to)289-304
Number of pages16
JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
Volume71
Issue number4
DOIs
Publication statusPublished - 2016 Jan 1

All Science Journal Classification (ASJC) codes

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Physical and Theoretical Chemistry

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