9 January 1995 Optimization method for controlling chaos problems: theory and applications
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Proceedings Volume 2352, Mobile Robots IX; (1995) https://doi.org/10.1117/12.198981
Event: Photonics for Industrial Applications, 1994, Boston, MA, United States
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
© (1995) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Igor M Starobinets, Igor M Starobinets, Victor V. Chugurin, Victor V. Chugurin, } "Optimization method for controlling chaos problems: theory and applications", Proc. SPIE 2352, Mobile Robots IX, (9 January 1995); doi: 10.1117/12.198981; https://doi.org/10.1117/12.198981

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