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Program Systems: Theory and Applications, 2015, Volume 6, Issue 1, Pages 21–37 (Mi ps151)  

Optimization Methods and Control Theory

Linear quadratic discrete-continuous systems with controllable coefficients

I. V. Rasinaa, O. V. Baturinab

a Ailamazyan Program System Institute of RAS
b ICS V. A. Trapeznikov of RAS
References:
Abstract: It is considered a special case of discrete-continuous systems (DCS): linear-quadratic DCS w.r.t. state variables with controllable coefficients. For this class of systems a prototype of Krotov iterative global improvement method is constructed. Its last iteration gives a solution in the form of approximate optimal control synthesis. The obtained result can be treated as development of optimal analytical controllers design theory with application to DCS. A visual example is considered. (In Russian).
Key words and phrases: discrete-continuous system, global improvement method, optimal control synthesis, turnpike solutions.
Document Type: Article
UDC: 517.977
Language: Russian
Citation: I. V. Rasina, O. V. Baturina, “Linear quadratic discrete-continuous systems with controllable coefficients”, Program Systems: Theory and Applications, 6:1 (2015), 21–37
Citation in format AMSBIB
\Bibitem{RasBat15}
\by I.~V.~Rasina, O.~V.~Baturina
\paper Linear quadratic discrete-continuous systems with controllable coefficients
\jour Program Systems: Theory and Applications
\yr 2015
\vol 6
\issue 1
\pages 21--37
\mathnet{http://mi.mathnet.ru/ps151}
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  • https://www.mathnet.ru/eng/ps/v6/i1/p21
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