Boundary-output-based asynchronous stabilization for stochastic Markovian reaction-diffusion systems

Stabilization is addressed for a class of stochastic Markovian reaction-diffusion systems (SMRDSs) via boundary-output-based asynchronous control strategy. Compared with the most existing results on the asynchronous control, a more general hidden Markov model is proposed to describe the asynchronous behavior. Both the transition rate matrix (TRM) and observation probability matrix (OPM) in the HMM are partly unknown and the incomplete TRM also contains uncertainty. Then an asynchronous boundary controller is designed only using boundary point information. Sufficient conditions are established for SMRDSs to ensure the mean square exponential stability with strictly (W, P, R)-α dissipative performance. A numerical example is presented to verify the effectiveness of the proposed boundary-output-based asynchronous control strategy.