Exponential synchronization for stochastic neural networks with multi-delayed and Markovian switching via adaptive feedback control

This paper is concerned with the adaptive exponential synchronization problem for stochastic neural networks with multi-delayed and Markovian switching. A new method called M-matrix method, very different to the linear matrix inequality (LMI) method, has been proposed to solve the above problem. Meanwhile, some sufficient conditions for the exponential stability of the error system are derived. The feedback gain update laws are given by the adaptive control technique. Finally, two simulation examples are provided to demonstrate the effectiveness and applicability of the proposed design method.