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This paper focuses on the stochastic jumping systems with singular perturbation subject to a random access protocol. The key challenge with controller design issue of stochastic jumping systems is how to assess the coordination of communication orders. In this study, a joint Markov process is established, and a novel control law is proposed. In contrast with the existing methods, the developed controller is more general. Finally, a practical example is exhibited to show the effectiveness of the achieved theories.

A Random Access Protocol Approach to Stochastic Jumping Systems with Singular Perturbations