Controllability for systems governed by second-order differential inclusions with nonlocal conditions
KeywordsControllability, control system, differential inclusion, nonlocal condition, condensing map, fixed point, measure of non-compactness, MNC-estimate
AbstractWe study a controllability problem for a system governed by a semilinear second-order differential inclusion involving control perturbations and nonlocal conditions in a Hilbert space. By using the fixed point theory for condensing multimaps, the $(E_0,X_0)$-controllability result for the mentioned problem is proved under the assumption that the corresponding linear system is $(E_0,X_0)$-controllable.
How to Cite
KE, Tran Dinh & OBUKHOVSKIĬ, Valeri. Controllability for systems governed by second-order differential inclusions with nonlocal conditions. Topological Methods in Nonlinear Analysis [online]. 22 April 2013, T. 42, nr 2, s. 377–403. [accessed 29.3.2023].
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