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Stability Analysis for ADT-Switched Genetic Regulatory Networks with constant delay via Improved Double-Integral Inequality

The problem of exponential stability of switched genetic regulatory networks(GRNs) with constant delay is investigated. The average dwell time switching rule is also taken into account in this paper. Firstly, we construct a complicate Lyapunov-Krasovskii functional which includes triple-integral terms. It means more integral state-vectors are considered. Then, some sufficient conditions which ensure the switched GRNs is exponentially stable are deduced by means of Jensen's inequality and improved double-integral inequality. Finally, a numerical example is given to demonstrate the feasibility of proposed method.