A new four-dimensional hyperchaotic Lorenz system and its adaptive control |
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Authors: | Si Gang-Quan Cao Hui and Zhang Yan-Bin |
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Institution: | State Key Laboratory of Electrical Insulation and Power Equipment, School of Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
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Abstract: | Based on the Lorenz chaotic system, this paper constructs a new four-dimensional hyperchaotic Lorenz system, and studies the basic dynamic behaviours of the system. The Routh--Hurwitz theorem is applied to derive the stability conditions of the proposed system. Furthermore, based on Lyapunov stability theory, an adaptive controller is designed and the new four-dimensional hyperchaotic Lorenz system is controlled at equilibrium point. Numerical simulation results are presented to illustrate the effectiveness of this method. |
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Keywords: | hyperchaotic Lorenz system adaptive control Lyapunov stability theory |
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