Parametric Control of Solutions to a Linear Evolution Problem in a Neighborhood of an Unstable Equilibrium
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Under study is some control problem for a linear system of ordinary differential equations with unstable equilibria. We construct the control under which the solution remains in a neighborhood of an unstable equilibrium however long.
Keywordsparametric control linear evolution problem unstable equilibrium
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- 1.Zelenyak T. I. and Slinko M. G., “The dynamics of catalytic systems,” Kinetika i Kataliz, I: 18, No. 5, 1235–1248 (1977); II: 18, No. 6, 1548–1560 (1977).Google Scholar
- 2.Vishnevskii M. P., “Periodic and close-to-periodic solutions to nonlinear parabolic systems,” Dinamika Sploshn. Sredy, no. 16, 84–90 (1984).Google Scholar
- 3.Musienko E. I., “Controlling a solution to one parabolic problem in a neighborhood of an unstable stationary solution,” Dinamika Sploshn. Sredy, no. 51, 68–83 (1981).Google Scholar
- 7.Daleckii Ju. L. and Krein M. G., Stability of Solutions to Differential Equations in Banach Space, Amer. Math. Soc., Providence (1974).Google Scholar