
This article is cited in 2 scientific papers (total in 2 papers)
On a zero order approximation of an asymptotic solution for a singularly perturbed linearquadratic control problem with discontinuous coefficients
G. A. Kurina^{}, Nguyên Thi Hoài^{} ^{} Voronezh State Academy of Forestry Engineering
Abstract:
The paper deals with a formalism of constructing a zero order approximation of an asymptotic solution for a singularly perturbed linearquadratic optimal control problem with discontinuous coefficients. This formalism is based on immediate substituting a postulated asymptotic expansion of boundary layer type for the solution into the problem condition and on defining four optimal control problems for finding asymptotics terms. The unique solvability of the problems, the solutions of which form the zero order approximation for the asymptotic solution, is proven. An illustrative example is given.
Keywords:
linearquadratic optimal control problem, singular perturbations, discontinuous coefficients, asymptotic expansion
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UDC:
517.977.5 + 517.928.2 Received: 05.03.2010
Citation:
G. A. Kurina, Nguyên Thi Hoài, “On a zero order approximation of an asymptotic solution for a singularly perturbed linearquadratic control problem with discontinuous coefficients”, Model. Anal. Inform. Sist., 17:1 (2010), 93–116
Citation in format AMSBIB
\Bibitem{KurNgu10}
\by G.~A.~Kurina, Nguy\^en~Thi~Ho\`ai
\paper On a zero order approximation of an asymptotic solution for a singularly perturbed linearquadratic control problem with discontinuous coefficients
\jour Model. Anal. Inform. Sist.
\yr 2010
\vol 17
\issue 1
\pages 93116
\mathnet{http://mi.mathnet.ru/mais18}
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http://mi.mathnet.ru/eng/mais18 http://mi.mathnet.ru/eng/mais/v17/i1/p93
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This publication is cited in the following articles:

G. A. Kurina, Nguyên Th{\d i} Hoài, “Asymptotic solution of singularly perturbed linearquadratic optimal control problems with discontinuous coefficients”, Comput. Math. Math. Phys., 52:4 (2012), 524–547

Kurina G., “LinearQuadratic Optimal Control Problems with Switch Points and a Small Parameter”, Control and Optimization with DifferentialAlgebraic Constraints, Advances in Design and Control, no. 23, eds. Biegler L., Campbell S., Mehrmann V., SIAM, 2012, 165–188

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