Local Synchronization of Markovian Nonlinearly Coupled Neural Networks with Generally Uncertain Transition Rates

In this chapter, we investigate local synchronization of Markovian nonlinear coupled neural networks with uncertain and partially unknown transition rates. Each transition rate in the Markovian coupled neural network model is either uncertain or completely unknown because complete knowledge of the transition rate is difficult and costly. The less conservative local synchronization criteria containing the bounds of delay and delay derivative are obtained based on the novel augmented Lyapunov–Krasovskii functional and a new integral inequality that combines with free-matrix-based integral inequality and further improved integral inequality. Finally, the validity of the results is demonstrated by numerical examples.