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Starobinets I. M., Ugrinovskii V. A. A dynamical method for controlling chaos optimization. Izvestiya VUZ. Applied Nonlinear Dynamics, 1995, vol. 3, iss. 3, pp. 44-55.

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Language: 
Russian
Heading: 
Deterministic Chaos
Article type: 
Article
UDC: 
517.9

A dynamical method for controlling chaos optimization

Autors: 
Starobinets Igor Mikhailovich, Lobachevsky State University of Nizhny Novgorod
Ugrinovskii Valerii Aronovich, Federal state budgetary scientific institution "Scientific-research radiophysical Institute"
Abstract: 

A control method is presented to direct a trajectory on a strange attractor towards a desirable unstable set by small parameters perturbations. The method is alternative to the classical Ott - Grebogi - Yorke control procedure. The proposed approach is based on the discrete and continuous maximum principles and optimizes the mean time to achieve control. The case of multidimensional control is investigated. The proposed method is tested both in discrete models and continuous systems.

Key words: 
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Acknowledgments: 
The authors are grateful to M.I. Rabinovich and L.N. Korzinov for his interest in this work and numerous useful discussions. The research described in this publication was made possible, in particular, thanks to the support of grant NP2300 from the International Science Foundation, the Russian government and a grant from the Russian Foundation for Basic Research (project 94-02-03263).
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Received: 
26.04.1995
Accepted: 
10.11.1995
Published: 
05.04.1996
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