Optimal Feedback Control in the Mathematical Model of Low Concentrated Aqueous Polymer Solutions

Victor G. Zvyagin () and Mikhail V. Turbin
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Victor G. Zvyagin: Voronezh State University
Mikhail V. Turbin: Voronezh State University

Journal of Optimization Theory and Applications, 2011, vol. 148, issue 1, No 9, 146-163

Abstract: Abstract We consider the feedback control problem in the model of motion of low concentrated aqueous polymer solutions. We demonstrate the solvability of an approximating problem, using some a priori estimates and the topological degree theory. Then the convergence (in some generalized sense) of solutions of approximating problems to a solution of the given problem is proved. Moreover, we show the existence of a solution minimizing a given convex, lower semicontinuous functional.

Keywords: External feedback control; Approximation-topological approach; A priory estimate; Weak solution; Topological degree theory (search for similar items in EconPapers)
Date: 2011
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DOI: 10.1007/s10957-010-9749-3

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