Synchronization stability and circuit experiment of hyperchaos with time delay using impulse control

TL;DR

This paper proposes an impulse control method to synchronize hyperchaotic circuits, providing theoretical conditions and experimental validation, enhancing secure communication potential with improved synchronization stability.

Contribution

It introduces a novel impulse control approach for hyperchaotic system synchronization, including stability conditions and practical circuit implementation.

Findings

Impulses effectively synchronize hyperchaotic circuits.

Derived bounds ensure asymptotic stability of synchronization.

Experimental results confirm theoretical analysis and feasibility.

Abstract

Secure communication using hyperchaos has a better potential performance, but hyperchaotic impulse circuits synchronization is a challenging task. In this paper, an impulse control method is proposed for the synchronization of two hyperchaotic Chen circuits. The sufficient conditions for the synchronization of hyperchaotic systems using the impulse control are given. The upper bound of the impulse interval is derived to assure the synchronization error system to be asymptotically stable. Simulation and circuit experiment show the correctness of the analysis and feasibility of the proposed method.