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Zbl 1162.65062
Salarieh, Hassan; Alasty, Aria
Control of stochastic chaos using sliding mode method.
(English)
[J] J. Comput. Appl. Math. 225, No. 1, 135-145 (2009). ISSN 0377-0427

Deterministic chaotic systems perturbed by a white noise are studied. Sliding mode control and Lyapunov based control are used for stabilizing unstable periodic orbits. The proposed control algorithm is applied to the stochastic Duffing and Van der Pol systems.
[Grigori N. Milstein (Ekaterinburg)]
MSC 2000:
*65P20 Numerical chaos
65C30 Stochastic differential and integral equations
37H10 Random and stochastic difference and differential equations
37C27 Periodic orbits of vector fields and flows
37C75 Stability theory
93E25 Computational methods in stochastic control

Keywords: stochastic chaos; control and stabilization; sliding mode; stochastic Duffing and Van der Pol systems; unstable periodic orbits; algorithm

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