The control of high-dimensional chaos in time-delay systems to an arbitrary goal dynamics

Year: 1999

Authors: Bunner Martin J.

Autors Affiliation: Max Planck Inst Phys Komplexer Syst, D-01187 Dresden, Germany

Abstract: We present the control of high-dimensional chaos, with possibly a large number of positive Lyapunov exponents, of unknown time-delay systems to an arbitrary goal dynamics. We give an existence-and-uniqueness theorem for the control force. In the case of an unknown system, a formula to compute a model-based control force is derived. We give an example by demonstrating the control of the Mackey-Glass system toward a fixed point and a Rossler dynamics. (C) 1999 American Institute of Physics

Journal/Review: CHAOS

Volume: 9 (1)      Pages from: 233  to: 237

KeyWords: Feedback; series; laser
DOI: 10.1063/1.166395

Citations: 4
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