Aperiodic sampled-data synchronization of Markovian jump neural networks with partially known switching transition rates

Abstract

In this paper, the aperiodic sampled-data synchronization problem of Markovian jump neural networks with partially known switching transition rates is investigated. The problem of asynchronous switching between the system mode and the controller mode is analyzed due to switching of the transition rate matrix. As the size constraint between the dwell time and the sampling interval, a sampling interval is divided into a matched interval and a mismatched interval to establish the error system models, respectively. Then, a set of multiple Lyapunov looped-functionals which consist of mode-dependent single/double/triple integral terms are constructed to analyze the mean-square exponential stability of the error system. Furthermore, a design method for aperiodic sampled-data controller is proposed. Finally, the obtained results are verified by some numerical simulations, and compared with the existing method, it shows that a larger upper bound of sampling interval can be obtained.