Internal stabilization of a mutualistic reaction diffusion system

DOI10.1007/s10114-005-0911-zzbMath1179.35053OpenAlexW2101441843WikidataQ111266244 ScholiaQ111266244MaRDI QIDQ884908

Wang Yuan Dong

Publication date: 7 June 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0911-z

zbMATH Keywords

Riccati equationfeedback controllersteady-state solutiondifferent internal controllers

Mathematics Subject Classification ID

Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Realizations from input-output data (93B15)

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Unified theory for abstract parabolic boundary problems - a semigroup approach
• Geometric theory of semilinear parabolic equations
• Internal stabilization of semilinear parabolic systems
• Feedback stabilization of semilinear heat equations
• Positive periodic solutions of a class of non-autonomous single species population models with delays and feedback control
• Feedback stabilization of periodic solutions to nonlinear parabolic like evolution systems
• Feedback stabilization of Navier–Stokes equations
• Internal stabilization of Navier-Stokes equations with finite-dimensional controllers
• On diffusion-induced blowups in a mutualistic model
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