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Program Systems: Theory and Applications, 2011, Volume 2, Issue 2, Pages 61–66 (Mi ps34)  
Optimization Methods and Control Theory

Realization of non-linear dynamic systems

A. V. Evseev

N. E. Bauman Moscow State Technical University
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Abstract: Realizations of input-output differential equations for non-linear control systems are considered. Necessary and sufficient conditions for realization possibility are given. Conditions are formulated either in terms of vector fields and in terms of differential forms. Realization algorithm is built. Algorithm-based software package is created in symbolic computations system Maple.
Key words and phrases: transform of control systems, differential geometry approach, symbolic computations.
Received: 19.03.2011
Accepted: 21.04.2011
Document Type: Article
UDC: 517.977
Language: Russian
Citation: A. V. Evseev, “Realization of non-linear dynamic systems”, Program Systems: Theory and Applications, 2:2 (2011), 61–66
Citation in format AMSBIB
\Bibitem{Evs11}
\by A.~V.~Evseev
\paper Realization of non-linear dynamic systems
\jour Program Systems: Theory and Applications
\yr 2011
\vol 2
\issue 2
\pages 61--66
\mathnet{http://mi.mathnet.ru/ps34}
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