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

Paper:

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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
Published:
December 20, 2016
Creative Commons License
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.
Cite this article as:
X. Wan, C. Ren, and J. An, “Robust Stability of Discrete-Time Randomly Switched Delayed Genetic Regulatory Networks with Known Sojourn Probabilities,” J. Adv. Comput. Intell. Intell. Inform., Vol.20 No.7, pp. 1094-1102, 2016.
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