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Trudy Seminara imeni I. G. Petrovskogo, 2016, Issue 31, Pages 134–157
(Mi tsp93)
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This article is cited in 8 scientific papers (total in 8 papers)
Some problems of distributed and boundary control for systems with integral aftereffect
I. V. Romanova, A. S. Shamaevbc a National Research University "Higher School of Economics" (HSE), Moscow
b Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, Moscow
c Lomonosov Moscow State University
Abstract:
We consider the problem of exact control for a system described by an equation with integral “memory.” It is shown that, under certain conditions, this system can be brought to rest in finite time by distributed control bounded in absolute value, and, in a special one-dimensional case, by control applied to an end-point of the interval. We consider different types of kernels in the integral term of the equation and describe some relationships between problems of controllability of some hyperbolic and parabolic systems.
Citation:
I. V. Romanov, A. S. Shamaev, “Some problems of distributed and boundary control for systems with integral aftereffect”, Tr. Semim. im. I. G. Petrovskogo, 31, 2016, 134–157; J. Math. Sci. (N. Y.), 234:4 (2018), 470–484
Linking options:
https://www.mathnet.ru/eng/tsp93 https://www.mathnet.ru/eng/tsp/v31/p134
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Abstract page: | 157 | Full-text PDF : | 53 | References: | 30 |
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