Finite‐Time Stability Analysis of Switched Genetic Regulatory Networks with Time‐Varying Delays via Wirtinger’s Integral Inequality
S. Saravanan, M. Syed Ali, Grienggrai Rajchakit, Bussakorn Hammachukiattikul, Bandana Priya, Ganesh Kumar Thakur
Abstract
The problem of finite‐time stability of switched genetic regulatory networks (GRNs) with time‐varying delays via Wirtinger’s integral inequality is addressed in this study. A novel Lyapunov–Krasovskii functional is proposed to capture the dynamical characteristic of GRNs. Using Wirtinger’s integral inequality, reciprocally convex combination technique and the average dwell time method conditions in the form of linear matrix inequalities (LMIs) are established for finite‐time stability of switched GRNs. The applicability of the developed finite‐time stability conditions is validated by numerical results.
Topics & Concepts
Stability (learning theory)Control theory (sociology)MathematicsComputer scienceInequalityApplied mathematicsMathematical optimizationMathematical analysisArtificial intelligenceControl (management)Machine learningGene Regulatory Network Analysisstochastic dynamics and bifurcationEvolution and Genetic Dynamics