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This article is cited in 4 scientific papers (total in 4 papers)
Optimal Control of Undamped Sobolev-Type Retarded Systems
L. A. Vlasenko, A. G. Rutkas V. N. Karazin Kharkiv National University
Abstract:
The optimal control problem for a system whose evolution is described by a Sobolev-type second-order retarded operator-differential equation is studied. The main assumption is that a restriction is imposed on the derivatives of the resolvent of the quadratic operator pencil on a ray in the right half-plane. Several applications to systems described by non-Kovalevskaya-type partial differential equations are considered.
Keywords:
cosine operator function, quadratic quality functional, non-Kovalevskaya-type partial differential equation.
Received: 29.06.2016
Citation:
L. A. Vlasenko, A. G. Rutkas, “Optimal Control of Undamped Sobolev-Type Retarded Systems”, Mat. Zametki, 102:3 (2017), 323–338; Math. Notes, 102:3 (2017), 297–309
Linking options:
https://www.mathnet.ru/eng/mzm11304https://doi.org/10.4213/mzm11304 https://www.mathnet.ru/eng/mzm/v102/i3/p323
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Abstract page: | 428 | Full-text PDF : | 68 | References: | 74 | First page: | 37 |
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