Robust Stability for Discrete-Time Uncertain Genetic Regulatory Networks with Infinite-Distributed Delay

Abstract

This paper deals with the problem of robust stability for discrete-time uncertain genetic regulatory networks with both discrete interval and infinite-distributed time-varying delays, where discrete time-varying delay is on the lower and upper bounds and the uncertain parameters are norm-bounded. By employing Lyapunov-Krasovskii functional method combined with the bounding technique, a sufficient condition is established that guarantees the robust stability for discrete-time uncertain genetic regulatory networks with infinite-distributed delays. A particular feature of the criterion is dependent on the lower and upper bounds of the discrete interval time-varying delays, and is therefore less conservative than the delay-independent ones. Simulation examples are to prove the feasibility and applicability for proposed result.