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• W2059458085 abstract "A novel adaptive time-delayed control method is proposed for stabilizing inherent unstable periodic orbits (UPOs) in chaotic systems with unknown parameters. We first explore the inherent properties of chaotic systems and use the system state and time-delayed system state to form an asymptotically stable invariant manifold so that when the system state enters the manifold and stays in it thereafter, the resulting motion enables the stabilization of the desired UPOs. We then use the model following concept to construct an identifier for the estimation of the uncertain system parameters. We shall prove that under the developed scheme, the system parameter estimates will converge to their true values. The effectiveness of the method is confirmed by computer simulations." @default.
• W2059458085 created "2016-06-24" @default.
• W2059458085 creator A5070195520 @default.
• W2059458085 creator A5080461415 @default.
• W2059458085 date "2000-03-01" @default.
• W2059458085 modified "2023-09-27" @default.
• W2059458085 title "STABILIZING UNSTABLE PERIODIC ORBITS OF CHAOTIC SYSTEMS WITH UNKNOWN PARAMETERS" @default.
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• W2059458085 doi "https://doi.org/10.1142/s0218127400000426" @default.
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