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JACIII Vol.20 No.7 pp. 1094-1102
doi: 10.20965/jaciii.2016.p1094
(2016)

Paper:

Robust Stability of Discrete-Time Randomly Switched Delayed Genetic Regulatory Networks with Known Sojourn Probabilities

Xiongbo Wan, Chuanyu Ren, and Jianqi An

School of Automation, China University of Geosciences
Wuhan 430074, China

Received:
July 6, 2016
Accepted:
September 18, 2016
Online released:
December 20, 2016
Published:
December 20, 2016
Keywords:
genetic regulatory networks (GRNs), known sojourn probabilities, discrete Wirtinger-based inequality, linear matrix inequalities (LMIs)
Abstract

This study investigates stability problems related to discrete-time randomly switched genetic regulatory networks (GRNs) with time-varying delays. A new discrete-time randomly switched GRN model with known sojourn probabilities is proposed. By utilizing the discrete Wirtinger-based inequality and a newly proposed constraint condition on the feedback regulatory function, which have not been fully used in stability analysis of discrete-time GRNs, we establish delay-dependent stability and robust stability criteria. These criteria possess the sojourn probabilities of randomly switched GRNs. Two numerical examples are provided to demonstrate the effectiveness of the established results.

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Last updated on Mar. 28, 2017