Robust delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory networks with random discrete delays and distributed delays
Corresponding Author
Wenqin Wang
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731 China
Correspondence to: Wenqin Wang, School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China.
E-mail: [email protected]
Search for more papers by this authorShouming Zhong
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731 China
Key Laboratory for NeuroInformation of Ministry of Education, School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054 China
Search for more papers by this authorFeng Liu
Key Laboratory for NeuroInformation of Ministry of Education, School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054 China
School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054 China
Search for more papers by this authorJun Cheng
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731 China
School of Automatic, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731 China
Search for more papers by this authorCorresponding Author
Wenqin Wang
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731 China
Correspondence to: Wenqin Wang, School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China.
E-mail: [email protected]
Search for more papers by this authorShouming Zhong
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731 China
Key Laboratory for NeuroInformation of Ministry of Education, School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054 China
Search for more papers by this authorFeng Liu
Key Laboratory for NeuroInformation of Ministry of Education, School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054 China
School of Life Science and Technology, University of Electronic Science and Technology of China, Chengdu, Sichuan, 610054 China
Search for more papers by this authorJun Cheng
School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731 China
School of Automatic, University of Electronic Science and Technology of China, Chengdu, Sichuan, 611731 China
Search for more papers by this authorSUMMARY
This study is concerned with the problem of robust delay-probability-distribution-dependent stability of uncertain stochastic genetic regulatory networks with mixed time-varying delays. The parameter uncertainties are modeled as having a structured linear fractional form. Besides, we consider that the derivatives of the discrete time delays have different upper bounds in various delay intervals. Moreover, less conservative conditions are obtained by choosing an augmented novel Lyapunov–Krasovskii functional and using the lower bound lemma together with the Jensen inequality lemma. Furthermore, the criteria can be applicable to both fast and slow time-varying delays. Finally, numerical examples are presented to illustrate the effectiveness of the theoretical results. Copyright © 2013 John Wiley & Sons, Ltd.
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