Stochastic synchronization of time-delayed large-scale systems with signal propagation delay subjected to dead-zone nonlinearity

In this paper, an adaptive decentralized control approach is proposed for a class of uncertain large-scale stochastic nonlinear time-delayed systems with unknown functions, unknown dead-zone and unknown signal propagation delays. Based on the stability theory of stochastic delayed differential equation, a novel adaptive controller which ensures that all the nodes in the complex networks robustly synchronize with the target node is derived. It is proved that the proposed control approach can guarantee that the closed-loop system is asymptotically stable in probability. To deal with the existence of unknown time-delays in the system dynamics, the novel Lyapunov–Krasovskii functionals are used. The main difficulty for handling the effects of interconnected terms is also well solved by a new proposed adaptation mechanism. A simulation example is provided to show the effectiveness of the proposed control approach.

Stochastic synchronization of time-delayed large-scale systems with signal propagation delay subjected to dead-zone nonlinearity Keywords:

Large-scale system , Lyapunov-Krasovskii , Stochastic , Time-delay , Synchronization , Input nonlinearity