Complex Modified Function Projective Lag Synchronization With Fixed-Time Stability Guarantees for Hyperchaotic Systems via a Fixed-Time Control Proposal

Our paper investigates complex modified function projective lag synchronization with fixed-time stability guarantees for hyperchaotic systems via a FxTC proposal. The synchronization of complex hyperchaotic systems and the desired performance are definitely guaranteed within a period of bounded time. The synchronization interval can be predefined without demanding the information of the initial conditions from the systems where the synchronization is performed. Furthermore, the fixed-time stability guarantees of the control scheme are achieved according to the Lyapunov principle and the settling time is calculated by solving the differential equations. In MATLAB/SIMULINK environment, synchronization performance from two simulation examples is performed in many cases with the change of initial values and time delay of the system to reveal the feasibility and the efficacy of the control proposal.

Automated summary

This paper investigates complex modified function projective lag synchronization with fixed-time stability guarantees for hyperchaotic systems. The proposed method ensures the synchronization and desired performance of complex hyperchaotic systems within a bounded time, without requiring the initial conditions from the systems. The fixed-time stability guarantees are achieved using the Lyapunov principle, and the settling time is calculated by solving differential equations.