Abstract
This paper considers the almost surely asymptotic stability of the neutral Markovian switching stochastic systems via periodically intermittent noise. Under the local Lipschitz and highly nonlinear growth conditions, novel sufficient conditions are obtained to ensure the existence and uniqueness of solutions and pth moment boundedness of intermittent stochastic systems. At the same time, by using the Lyapunov function method and M-matrix, it is proved that the system is almost surely asymptotically stable. In addition, the accuracy of the theories is demonstrated by two numerical examples.
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