Non-uniform sampled-data control for stochastic passivity and passification of Markov jump genetic regulatory networks with time-varying delays

This paper investigates the passivity and passification problems for Markov jump genetic regulatory networks with time-varying delays. A sampled-data control approach with non-uniform sampling period is taken into account. By invoking the input-delay approach and employing the Lyapunov–Krasovskii functional method, delay-dependent sufficient conditions on passivity are first given, upon which a mode-dependent passification controller design procedure is then presented. Finally, two numerical examples are provided to illustrate the applicability and effectiveness of the theoretical results.