On the stabilization of diffusion equations: Boundary observation and feedback

DOI10.1016/0022-0396(84)90177-3zbMath0545.93053OpenAlexW2003529248MaRDI QIDQ798287

Takao Nambu

Publication date: 1984

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(84)90177-3

zbMATH Keywords

feedbackfunctional observerunstable heat equation

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Linear systems in control theory (93C05) Heat equation (35K05) Spectrum, resolvent (47A10) Linear symmetric and selfadjoint operators (unbounded) (47B25)

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Cites Work

• On the operator equation \(BX - XA = Q\)
• Feedback stabilization for distributed parameter systems of parabolic type. III
• Feedback stabilization of diffusion equations by a functional observer
• Fundamental solutions of parabolic differential equations and boundary value problems
• A generalization of the Heinz inequality
• Feedback Stabilization of Distributed Parameter Systems by a Functional Observer
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
• Unnamed Item

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