Abstract Based on passive theory, this paper studies a hybrid chaotic dynamical system from the mathematics perspective to implement the control of system stabilization. According to the Jacobian matrix of the nonlinear system, the stabilization control region is gotten. The controller is designed to stabilize fast the minimum phase Lorenz--Chen chaotic system after equivalently transforming from chaotic system to passive system. The simulation results show that the system not only can be controlled at the different equilibria, but also can be transformed between the different chaotic attractors.
Received: 05 April 2007
Revised: 17 August 2007
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant No 60702023) and Natural
Science Foundation of Zhejiang Province, China (Grant No Y104414).
Cite this article:
Qi Dong-Lian(齐冬莲), Wang Qiao(王乔), and Gu Hong(顾弘) Chaotic attractor transforming control of hybrid Lorenz--Chen system 2008 Chin. Phys. B 17 847
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