Master-slave synchronization for nonlinear systems via reliable control with gaussian stochastic process

In this paper, master-slave synchronization methods for nonlinear system are proposed under a reliable control scheme. In order to consider a more realistic situation in designing a reliable controller, Gaussian stochastic process is introduced to the concept of reliable control system. To confirm an effect of reliable control system, a new synchronization criterion of nonlinear systems under time-varying delay feedback and reliable control with Gaussian transition probabilities is derived within the framework of linear matrix inequalities (LMIs) based on Lyapunov method. Finally, two numerical examples are provided to show the effectiveness and applicability of the of the proposed results.