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

DOI10.1080/07362994.2014.962044zbMath1307.34116OpenAlexW2043549814MaRDI QIDQ2937465

R. Krishnasamy, Pagavathigounder Balasubramaniam

Publication date: 9 January 2015

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362994.2014.962044

zbMATH Keywords

exponential stabilitylinear matrix inequalityLyapunov-Krasovskii functionalaverage dwell timeswitched stochastic genetic regulatory networks

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Stability theory of functional-differential equations (34K20) Stochastic functional-differential equations (34K50) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Hybrid systems of functional-differential equations (34K34)

Related Items (4)

Event-triggered sliding mode control for switched genetic regulatory networks with persistent dwell time ⋮ Exponential stability of stochastic Hopfield neural network with mixed multiple delays ⋮ Stability analysis for discrete-time switched GRNs with persistent dwell-time and time delays ⋮ Dynamic output feedback control of discrete-time switched GRNs with time-varying delays

Uses Software

• LMI toolbox
• Unnamed Item

Cites Work

• Robust stabilization and \(H_\infty\) controllers design for stochastic genetic regulatory networks with time-varying delays and structured uncertainties
• Stability and \(L_{2}\)-gain analysis for switched neutral systems with mixed time-varying delays
• An improved robust delay-dependent stability criterion for genetic regulatory networks with interval time delays
• Passivity analysis for stochastic Markovian switching genetic regulatory networks with time-varying delays
• Stochastic stability of Markovian switching genetic regulatory networks
• Robust filtering for stochastic genetic regulatory networks with time-varying delay
• Stochastic delay differential equations for genetic regulatory networks
• Stability analysis for switched genetic regulatory networks: an average dwell time approach
• Periodic oscillation in delayed gene networks with SUM regulatory logic and small perturba\-tions
• Asymptotic and robust stability of T-S fuzzy genetic regulatory networks with time-varying delays
• Adaptive Robust Output Regulation of Uncertain Linear Periodic Systems
• Stability of genetic regulatory networks with time delay
• Stability Criteria for Switched and Hybrid Systems

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