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This article is cited in 3 scientific papers (total in 3 papers)
Short Notes
Optimal control of solutions to the multipoint initial-final problem for nonstationary relatively bounded equations of Sobolev type
M. A. Sagadeeva, A. D. Badoyan South Ural State University, Chelyabinsk, Russian Federation
Abstract:
We study the problem of optimal
control of solutions to an operator-differential equation, which
is not solved with respect to the time derivative, together with
a multipoint initial-final condition. In this case, one of the
operators in the equation
is multiplied by a scalar function of time.
By the properties of the operators involved,
the stationary equation has analytical resolving group.
We construct a solution to the multipoint initial-final problem
for the nonstationary equation.
We show that
a unique optimal control of solutions to this problem
exists.
Apart from the introduction and bibliography, the article
consists of three sections. The first section provides the
essentials of the theory of relatively $p$-bounded operators. In
the second section we construct a strong solution to the
multipoint initial-final problem for nonstationary Sobolev-type
equations. The third section contains our proof that there exists
a unique optimal control of solutions to the multipoint
initial-final problem.
Keywords:
optimal control; multipoint initial-final problem; Sobolev-type equations; relatively bounded operator.
Received: 15.05.2014
Citation:
M. A. Sagadeeva, A. D. Badoyan, “Optimal control of solutions to the multipoint initial-final problem for nonstationary relatively bounded equations of Sobolev type”, Vestnik YuUrGU. Ser. Mat. Model. Progr., 7:3 (2014), 128–134
Linking options:
https://www.mathnet.ru/eng/vyuru153 https://www.mathnet.ru/eng/vyuru/v7/i3/p128
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