Geodesic
Control of a class of chaotic systems by a stochastic delay method
Kybernetika, Tome 46 (2010) no. 1, pp. 38-49
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A delay stochastic method is introduced to control a certain class of chaotic systems. With the Lyapunov method, a suitable kind of controllers with multiplicative noise is designed to stabilize the chaotic state to the equilibrium point. The method is simple and can be put into practice. Numerical simulations are provided to illustrate the effectiveness of the proposed controllable conditions.
A delay stochastic method is introduced to control a certain class of chaotic systems. With the Lyapunov method, a suitable kind of controllers with multiplicative noise is designed to stabilize the chaotic state to the equilibrium point. The method is simple and can be put into practice. Numerical simulations are provided to illustrate the effectiveness of the proposed controllable conditions.
Classification : 34H15, 34K50, 60H10, 60H30, 93C23, 93D15, 93E15
Keywords: random dynamical system; unified chaotic system; stochastic delay differential equations; multiplicative noise; maximal Lyapunov exponent 
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Zhang, Lan; Zhang, Chengjian; Zhao, Dongming. Control of a class of chaotic systems by a stochastic delay method. Kybernetika, Tome 46 (2010) no. 1, pp. 38-49. http://geodesic.mathdoc.fr/item/KYB_2010_46_1_a2/

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