The control of high-dimensional chaos in time-delay systems to an arbitrary goal dynamics.
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.
Bunner
M. J.
MJ
Max-Planck-Institut fur Physik Komplexer Systeme, Nothnitzer Strasse 38, D-01187 Dresden, Germany.