The Ljapunov equation and an application to stabilisation of one-dimensional diffusion equations

DOI10.1017/S0308210500019053zbMath0641.93041OpenAlexW2153538694MaRDI QIDQ3783165

Takao Nambu

Publication date: 1986

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500019053

zbMATH Keywords

stabilizationLyapunov equationfeedback controlone-dimensional diffusion equations

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Control/observation systems in abstract spaces (93C25) Second-order parabolic equations (35K10)

Related Items (4)

Approximation algorithm for an infinite-dimensional operator equation \(XL-BX=C\) ⋮ Strong continuity of the solution to the Lyapunov equation \(XL-BX=C\) relative to an elliptic operator L ⋮ Continuous dependence of solutions to the Lyapunov equation relative to an elliptic differential operator of order 2 ⋮ An extension of stabilizing compensators for boundary control systems of parabolic type

Cites Work

• On the stabilization of diffusion equations: Boundary observation and feedback
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION

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