Prescribed-Time Fault-Tolerant Synchronization of Complex Dynamical Networks By Linear Time-Varying Protocol

This brief studies the prescribed-time fault-tolerant synchronization control problem for a class of complex dynamical networks subject to actuator faults. Specifically, for such a problem, linear time-varying (LTV) protocol is established firstly by using the solution to a parametric Laypunov equation (PLE). Then by fully exploiting properties of the solution to the PLE, a so-called scalarization technology is used to determine the time-varying parameter involved in the protocol by transforming the considered problem into the analysis of a scalar differential equation. In addition, it is shown that the proposed controller is bounded via the Lyapunov analysis approach. The developed LTV protocol is utilized to the design of the coupled Chua’s circuits control system and simulation results verify the effectiveness of the proposed approach.