Null controllability of retarded parabolic equations
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Publication:2438332
DOI10.3934/mcrf.2014.4.1zbMath1281.93021OpenAlexW2318376221MaRDI QIDQ2438332
Cédric Dupaix, Lahcen Maniar, Farid Ammar Khodja, Cherif Bouzidi
Publication date: 11 March 2014
Published in: Mathematical Control and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/mcrf.2014.4.1
distributed controlCarleman estimatecontrollability and observabilitylinear retarded parabolic equation
Controllability (93B05) One-parameter semigroups and linear evolution equations (47D06) Observability (93B07) Partial functional-differential equations (35R10) Control problems for functional-differential equations (34K35) Second-order parabolic equations (35K10)
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Cites Work
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- A Kalman rank condition for the localized distributed controllability of a class of linear parabolic systems
- 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
- Optimal control of linear retarded systems in Banach spaces
- Exact controllability of the superlinear heat equation
- Null and approximate controllability for weakly blowing up semilinear heat equations
- Controllability for a class of reaction-diffusion systems: the generalized Kalman's condition
- Controllability and observability of linear retarded systems in Banach spaces
- Sur les perturbations des équations d'évolution : application à des problèmes de retard
- Mathematical control theory: an introduction