Controllability of Coupled Parabolic Systems with Multiple Underactuations, Part 2: Null Controllability

DOI10.1137/17M1154898zbMath1422.35108OpenAlexW2975250838WikidataQ127201042 ScholiaQ127201042MaRDI QIDQ5234667

Drew Steeves, Bahman Gharesifard, Abdol-Reza Mansouri

Publication date: 30 September 2019

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1154898

zbMATH Keywords

controllabilityparabolic systemsCarleman estimatesfictitious control method

Mathematics Subject Classification ID

Controllability (93B05) Second-order parabolic systems (35K40)

Related Items (3)

Bilinear local controllability to the trajectories of the Fokker-Planck equation with a localized control ⋮ Controllability of a \(4 \times 4\) quadratic reaction-diffusion system ⋮ Controllability of Coupled Parabolic Systems with Multiple Underactuations, Part 1: Algebraic Solvability

Cites Work

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• Indirect controllability of some linear parabolic systems of \(m\) equations with \(m-1\) controls involving coupling terms of zero or first order
• Local null controllability of the three-dimensional Navier-Stokes system with a distributed control having two vanishing components
• Null controllability of the \(N\)-dimensional Stokes system with \(N - 1\) scalar controls
• Null controllability of the heat equation with boundary Fourier conditions: the linear case
• Controllability of Coupled Parabolic Systems with Multiple Underactuations, Part 1: Algebraic Solvability

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