Stochastic Stability Analysis for Switched Genetic Regulatory Networks with Interval Time-Varying Delays Based on Average Dwell Time Approach

Krishnasamy R.; Balasubramaniam P.

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Stochastic Stability Analysis for Switched Genetic Regulatory Networks with Interval Time-Varying Delays Based on Average Dwell Time Approach

机译：基于平均停留时间方法的时滞切换遗传控制网络的随机稳定性分析

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In this article, the problem of stochastic stability analysis for switched stochastic genetic regulatory networks with interval time-varying delays based on average dwell time approach is investigated. By constructing the piecewise Lyapunov-Krasovskii functional, delay-dependent stability conditions are derived by using free-weighting matrix and convex combination approach. The derived stability conditions are expressed in terms of linear matrix inequalities which can be easily solved by using the MATLAB LMI control toolbox. Finally, numerical examples are provided to demonstrate the effectiveness and less conservativeness of the proposed theoretical results.

机译：本文研究了基于平均停留时间方法的具有间隔时变时滞的切换随机遗传调控网络的随机稳定性分析问题。通过构造分段Lyapunov-Krasovskii泛函，使用自由加权矩阵和凸组合方法导出了时滞相关的稳定性条件。导出的稳定性条件用线性矩阵不等式表示，可以通过使用MATLAB LMI控制工具箱轻松解决。最后，通过数值算例证明了所提出理论结果的有效性和较小的保守性。

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《Stochastic Analysis and Applications》 |2014年第6期|共21页
作者
Krishnasamy R.; Balasubramaniam P.;
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正文语种 eng
中图分类概率论与数理统计;概率论（几率论、或然率论）;
关键词
Switched stochastic genetic regulatory networks; Exponential stability; Average dwell time.; Lyapunov-Krasovskii functional; Linear matrix inequality;

机译：切换随机遗传调控网络;指数稳定性;平均停留时间;Lyapunov-Krasovskii泛函;线性矩阵不等式;

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专利

1. Stochastic Stability Analysis for Switched Genetic Regulatory Networks with Interval Time-Varying Delays Based on Average Dwell Time Approach [J] . Krishnasamy R., Balasubramaniam P. Stochastic Analysis and Applications . 2014,第6期

机译：基于平均停留时间方法的时滞切换遗传控制网络的随机稳定性分析
2. Stability analysis for switched genetic regulatory networks: An average dwell time approach [J] . Yingtao Yao, Jinling Liang, Jinde Cao Journal of the Franklin Institute . 2011,第10期

机译：交换遗传调控网络的稳定性分析：平均停留时间方法
3. Finite-time stability for memristor based uncertain neural networks with time-varying delays- via average dwell time approach [J] . M. Syed Ali, S. Saravanan Chinese Journal of Physics . 2017,第5期

机译：基于忆阻神经网络的有限时间稳定性，通过平均停留时间方法
4. Mean Square Asymptotic Stability for Stochastic Genetic Regulatory Networks with Interval Time-Varying Delays [C] . Xinyue Zhang, Yantao Wang, Xian Zhang, International Conference on Information, Cybernetics, and Computational Social Systems . 2018

机译：具有时间间隔时滞的随机遗传调控网络的均方渐近稳定性
5. Exponential Stability of Intrinsically Stable Dynamical Networks and Switched Networks with Time-Varying Time Delays [D] . Reber, David Patrick. 2019

机译：具有时变时间延迟的内在稳定动态网络和交换网络的指数稳定性
6. New delay-interval-dependent stability criteria for switched Hopfield neural networks of neutral type with successive time-varying delay components [O] . R. Manivannan, R. Samidurai, Jinde Cao, 2016

机译：具有连续时变时滞分量的中立型切换Hopfield神经网络的新的依赖于时间间隔的稳定性准则
7. Finite-Time Stability Analysis of Switched Genetic Regulatory Networks with Time-Varying Delays via Wirtinger’s Integral Inequality [O] . Shanmugam Saravanan, M. Syed Ali, Grienggrai Rajchakit, 2021

机译：通过丝网积分不等式与时变延迟交换遗传监管网络的有限时间稳定性分析

Stochastic Stability Analysis for Switched Genetic Regulatory Networks with Interval Time-Varying Delays Based on Average Dwell Time Approach

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