Control and synchronize a novel hyperchaotic system |
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Authors: | Congxu Zhu |
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Institution: | School of Information Science and Engineering, Central South University, Changsha 410083, China |
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Abstract: | The control and hybrid projective synchronization (HPS) strategies for a novel hyperchaotic system are investigated. Firstly, the novel hyperchaotic system is controlled to the unsteady equilibrium point or limit cycle via only one scalar controller which includes two state variables. Secondly, based on Lyapunov’s direct method HPS between two novel hyperchaotic systems is studied. A new nonlinear feedback vector controller is designed to guarantee HPS, which can be simplified ulteriorly into a single scalar controller to achieve complete synchronization between two novel hyperchaotic systems. Finally, numerical simulations are given to verify the effectiveness of these strategies. The proposed methods have certain significances for reducing the cost and complexity for controller implementation. |
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Keywords: | Hyperchaos control Hybrid projective synchronization Scalar controller Nonlinear feedback controller Lyapunov&rsquo s direct method Routh-Hurwitz criterion |
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