Compensation of Spatially Varying Input Delay in Distributed Control of Reaction-Diffusion PDEs

DOI10.1109/TAC.2020.3027662zbMath1471.93142OpenAlexW3089562964WikidataQ114085474 ScholiaQ114085474MaRDI QIDQ4957699

Krstić, Miroslav, Jie Qi

Publication date: 9 September 2021

Published in: IEEE Transactions on Automatic Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1109/tac.2020.3027662

zbMATH Keywords

reaction-diffusion PDEdistributed actuationpartial differential equations backsteppingspatially varying delay

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Reaction-diffusion equations (35K57) Delay control/observation systems (93C43) Exponential stability (93D23)

Related Items (6)

Adaptive boundary control of reaction-diffusion PDEs with unknown input delay ⋮ Bilateral boundary control of an input delayed 2-D reaction-diffusion equation ⋮ Robust stabilization of \(2 \times 2\) first-order hyperbolic PDEs with uncertain input delay ⋮ Radially varying delay‐compensated distributed control of reaction‐diffusion PDEs on n‐ball under revolution symmetry conditions ⋮ Boundary output feedback stabilization of state delayed reaction-diffusion PDEs ⋮ Boundary output feedback stabilisation of a class of reaction–diffusion PDEs with delayed boundary measurement

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