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Proceedings Paper

Optimization method for controlling chaos problems: theory and applications
Author(s): Igor M Starobinets; Victor V. Chugurin
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Paper Abstract

We present a dynamical control method where a trajectory on a chaotic attractor is directed by small perturbations towards a chosen unstable set. This method is alternative to the classical OttGrebogi- Yorke control procedure. Our approach is based on the discrete and continuous maximum principles and optimizes the mean time to achieve control even at large distances from the desired state. The proposed method is tested both in simple models (one-dimensional and two-dimensional maps) and in multidimensional systems (complex Ginzburg-Landau equations). A possible decrease of the strange attractor dimension by means of this method is also discussed. Keywords: controlling chaos, optimal control, strange attractor, multistep algorithms

Paper Details

Date Published: 9 January 1995
PDF: 12 pages
Proc. SPIE 2352, Mobile Robots IX, (9 January 1995); doi: 10.1117/12.198981
Show Author Affiliations
Igor M Starobinets, Institute of Applied Physics (Russia)
Victor V. Chugurin, Institute of Applied Physics (Russia)

Published in SPIE Proceedings Vol. 2352:
Mobile Robots IX
William J. Wolfe; Wendell H. Chun, Editor(s)

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