Sliding Controller Design for the Hybrid Chaos Synchronization of Identical Hyperchaotic Xu Systems
نویسنده
چکیده
This paper derives new results for the sliding controller design for the hybrid synchronization of identical hyperchaotic Xu systems (Xu, Cai and Zheng, 2009). In hybrid synchronization of a pair of chaotic systems consisting of master and slave systems, the odd states of the systems are completely synchronized, while the even states are anti-synchronized so that complete synchronization (CS) and anti-synchronization (AS) coexist in the chaos synchronization. The SMC-based stability results derived in this paper for the hybrid synchronization of identical hyperchaotic Xu systems are established using Lyapunov stability theory. Numerical simulations are depicted to illustrate and validate the hybrid synchronization schemes for the identical hyperchaotic Xu systems.
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