Synchronization of Complex Stochastic Coupled Systems Based on Graph Theory

Abstract

Based on the LaSalle invariant principle of stochastic differential equations and the graph theory, several sufficient conditions are obtained by adaptive feedback control and impulsive control. The error dynamical system is globally almost surely asymptotically stable. The conclusion is new and feasible. Finally, an example is given to show the validity of the results.

Keywords

• Stochastic system
• synchronization
• LaSalle invariant principle
• adaptive control
• impulse testing