A new relation between the condensation index of complex sequences and the null controllability of parabolic systems

DOI10.1016/j.crma.2013.09.014zbMath1276.93017OpenAlexW2125452734MaRDI QIDQ387753

Manuel González-Burgos, Farid Ammar Khodja, Luz de Teresa, Assia Benabdallah

Publication date: 17 December 2013

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/xmlui/handle/11441/41505

zbMATH Keywords

parabolic systemsnull controllabilitycondensation index

Mathematics Subject Classification ID

Controllability (93B05) One-parameter semigroups and linear evolution equations (47D06) Heat equation (35K05) Operator-theoretic methods (93B28) Control/observation systems in abstract spaces (93C25)

Related Items (6)

Exact and approximate controllability of coupled one-dimensional hyperbolic equations ⋮ Controllability of linear and semilinear non-diagonalizable parabolic systems ⋮ Minimal time of controllability of two parabolic equations with disjoint control and coupling domains ⋮ Further stabilization and exact observability results for voltage-actuated piezoelectric beams with magnetic effects ⋮ Decompositions and bang-bang properties ⋮ New phenomena for the null controllability of parabolic systems: minimal time and geometrical dependence

Cites Work

• Unnamed Item
• Minimal time for the null controllability of parabolic systems: the effect of the condensation index of complex sequences
• The Kalman condition for the boundary controllability of coupled parabolic systems. Bounds on biorthogonal families to complex matrix exponentials
• Boundary controllability of parabolic coupled equations
• Control of coupled parabolic systems and Diophantine approximations
• Overconvergence of Dirichlet series with complexe exponents

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