A Round-Robin protocol for intermittent control in networked stochastic multi-links Markov systems

This paper addresses the stability issue of networked stochastic multi-links Markov systems under the Round-Robin Protocol (RRP) using aperiodically intermittent control (AIC). While previous research has primarily focused on simple linear or nonlinear systems, this study expands the scope by considering stochastic multi-link Markov systems as the plant. The key challenges, including handling time-varying delays induced by RRP and ensuring system stability under AIC, are systematically tackled. By utilizing the Lyapunov method and graph theory, a sufficient criterion for exponential stability is established. Subsequently, the theoretical findings are applied to an oscillator system, and their effectiveness is validated through numerical simulations.