Abstract
A problem of robust control of a parabolic variational inequality in the case of distributed control actions and disturbances is under consideration. The goal of the paper consists in the description and mathematical substantiation of the the method of feedback control in the formalization originated from works by N.N. Krasovskii [3], [2]. The paper continues investigations [5]-[4].
This work was supported in part by the Russian Foundation for Basic Research (grant # 04-01-00059), Program on Basic Research of the Presidium of the Russian Acad. Sci. (project “Control of mechanical systems”), Program of supporting leading scientific schools of Russia (project 1846.2003.1) and Ural-Siberian Interdisciplinary Project.
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References
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N.N. Krasovskii. Controlling of a dynamical system. Nauka, Moscow, 1985. in Russian.
N.N. Krasovskii and A.I. Subbotin. Game-theoretical control problems. Springer, Berlin, 1988.
V. I. Maksimov. Feedback minimax control for parabolic variational inequality. C.R.Acad.Sci., Paris, Série II b:105–108, 2000.
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Maksimov, V. (2005). Feedback Robust Control for a Parabolic Variational Inequality. In: Cagnol, J., Zolésio, JP. (eds) System Modeling and Optimization. CSMO 2003. IFIP International Federation for Information Processing, vol 166. Springer, Boston, MA. https://doi.org/10.1007/0-387-23467-5_7
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DOI: https://doi.org/10.1007/0-387-23467-5_7
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4020-7760-9
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