Delay-dependent finite-time boundedness of a class of Markovian switching neural networks with time-varying delays

•A novel method is developed for delay-dependent finite-time boundness of neural networks with time-varying delays and Markovian switching•The newly proposed augmented stochastic Lyapunov-Krasovskii functional and novel activation function conditions has been proposed.•The novelty of the results in this paper pays more attention to the nonlinear parameters and time-varying delays appearing in the stochastic dynamic Markovian jumping neural networks.

In this paper, a novel method is developed for delay-dependent finite-time boundedness of a class of Markovian switching neural networks with time-varying delays. New sufficient condition for stochastic boundness of Markovian jumping neural networks is presented and proved by an newly augmented stochastic Lyapunov-Krasovskii functional and novel activation function conditions, the state trajectory remains in a bounded region of the state space over a given finite-time interval. Finally, a numerical example is given to illustrate the efficiency and less conservative of the proposed method.