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

Xiongbo Wan | Zendy; Chuanyu Ren | Zendy; Jianqi An | Zendy

Open Access

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

Author(s) -

Xiongbo Wan,

Chuanyu Ren,

Jianqi An

Publication year - 2016

Publication title -

journal of advanced computational intelligence and intelligent informatics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.172

H-Index - 20

eISSN - 1343-0130

pISSN - 1883-8014

DOI - 10.20965/jaciii.2016.p1094

Subject(s) - discrete time and continuous time , stability (learning theory) , constraint (computer aided design) , computer science , control theory (sociology) , function (biology) , mathematical optimization , mathematics , control (management) , statistics , artificial intelligence , machine learning , geometry , evolutionary biology , biology

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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