Synchronization of Chaotic Systems with Double Strange Attractors via Passivity Approach

This paper is devoted to address passivity-based approach synchronization between master and slave Newton–Leipnik chaotic systems, each of which has double co-existing strange attractors. Unlike the already existing results, Lyapunov stability and Linear Matrix Inequality (LMI) approach is firstly employed here. Synchronization was realized in virtue of control action added in the slave system, which was designed in an easy going way under auspices of the solution of the LMI, which in essence is a convex optimization. On account of which the identity of slaved system model and master system model was facilitated and guaranteed. A numerical example is given to demonstrate the effect of the proposed synchronization scheme.