Adaptive control of chaotic systems with stochastic time varying unknown parameters

摘要: Abstract In this paper based on the Lyapunov stability theorem, an adaptive control scheme is proposed for stabilizing unstable periodic orbits (UPO) of chaotic systems. It assumed that system has some linearly dependent unknown parameters which are stochastically time varying. The stochastic modeled through Weiner process derivative. To demonstrate effectiveness technique it been applied to Lorenz, Chen and Rossler dynamical systems, as case studies. Simulation results indicate controller a high performance in UPO systems noisy environment.