Adaptive synchronization of uncertain hyperchaotic systems based on parameter identification

In this paper, an approach of adaptive synchronization and parameters identification of hyperchaotic systems with linearly dependent uncertain parameters is proposed. The suggested tool proves to be globally and asymptotically stable by means of Lyapunov method. With this new and effective method, parameters identification and synchronization of hyperchaotic systems, with all the linear dependent system parameters unknown, can be achieved simultaneously. Theoretical proof and numerical simulation with Rössler hyperchaotic system demonstrate the effectiveness and feasibility of the proposed technique.