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Control of stochastic chaos using sliding mode method. (English) Zbl 1162.65062

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.

MSC:

65P20 Numerical chaos
65C30 Numerical solutions to stochastic differential and integral equations
37H10 Generation, random and stochastic difference and differential equations
37C27 Periodic orbits of vector fields and flows
37C75 Stability theory for smooth dynamical systems
93E25 Computational methods in stochastic control (MSC2010)
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