Controllability and observability theory of certain parabolic integrodifferential equations

DOI10.1016/j.camwa.2006.11.007zbMath1119.93020OpenAlexW2072270583MaRDI QIDQ995488

Kumarasamy Sakthivel, Sivaguru S. Sritharan, Krishnan Balachandran

Publication date: 3 September 2007

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2006.11.007

zbMATH Keywords

observabilitycontrollabilityCarleman estimatesintegrodifferential equationsKakutani's fixed-point theorem

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by functional-differential equations (93C23) Fixed-point theorems (47H10) Observability (93B07)

Related Items (8)

Unnamed Item ⋮ Unnamed Item ⋮ On a class of non-linear parabolic control systems with memory effects ⋮ Controllability and observability theory of certain parabolic integrodifferential equations ⋮ Carleman estimate for an adjoint of a damped beam equation and an application to null controllability ⋮ Controllability properties for equations with memory of fractional type ⋮ Determination of a source term in a partial differential equation arising in finance ⋮ Uniqueness and stability in inverse parabolic equations with memory

Cites Work

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• Exact controllability of the Navier-Stokes and Boussinesq equations
• Approximate controllability of the semilinear heat equation
• Controllability of parabolic equations
• Null controllability of nonlinear convective heat equations

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