ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Grigorieva S. A., Osipov G. V. Optimum external impulse of low power for activation of one- dimensional dynamic system. Izvestiya VUZ. Applied Nonlinear Dynamics, 2012, vol. 20, iss. 2, pp. 83-97. DOI: 10.18500/0869-6632-2012-20-2-83-97

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.977
DOI: 
10.18500/0869-6632-2012-20-2-83-97

Optimum external impulse of low power for activation of one- dimensional dynamic system

Autors: 
Grigorieva Svetlana Anatolevna, Lobachevsky State University of Nizhny Novgorod
Osipov Grigorij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

In this paper we study the optimum form of external influence with low power necessary for activation of one-dimensional dynamical system. The Lagrange multipliers method is used. Optimum influence with low power and optimum law of change of a dynamical system state are determined analytically for linear dynamical system and numerically for nonlinear dynamical system. The opportunity of influence power reduction vs its duration is investigated. The efficiency of optimum influence expressed in economy of energy quantity, spent on it, in comparison to rectangular influence is studied. 

Key words: 
Optimum form of external influence
activation of dynamical system
Lagrange multipliers method
power of influence
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Received: 
09.12.2011
Accepted: 
19.01.2012
Published: 
29.06.2012
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