Compact perturbations of controlled systems

DOI10.3934/mcrf.2018016zbMath1405.93037arXiv1701.06519OpenAlexW2753024097WikidataQ130054937 ScholiaQ130054937MaRDI QIDQ1713365

Michel Duprez, Guillaume Olive

Publication date: 24 January 2019

Published in: Mathematical Control and Related Fields (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.06519

zbMATH Keywords

exact controllabilityreachable statescompactness-uniquenessFattorini-Hautus test

Mathematics Subject Classification ID

Controllability (93B05) Perturbations in control/observation systems (93C73) Linear systems in control theory (93C05) Attainable sets, reachability (93B03)

Related Items (9)

Boundary controllability of two coupled wave equations with space-time first-order coupling in 1-D ⋮ Minimal time for the exact controllability of one-dimensional first-order linear hyperbolic systems by one-sided boundary controls ⋮ Equivalent one-dimensional first-order linear hyperbolic systems and range of the minimal null control time with respect to the internal coupling matrix ⋮ Reachability results for perturbed heat equations ⋮ Finite codimensional controllability and optimal control problems with endpoint state constraints ⋮ Null-controllability of linear parabolic-transport systems ⋮ On the observability inequality of coupled wave equations: the case without boundary ⋮ Boundary controllability and stabilizability of a coupled first-order hyperbolic-elliptic system ⋮ Null-controllability of linear hyperbolic systems in one dimensional space

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