Feedback stabilization of diffusion equations by a functional observer

DOI10.1016/0022-0396(82)90094-8zbMath0493.93042OpenAlexW2082495906MaRDI QIDQ1168937

Takao Nambu

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0022-0396(82)90094-8

zbMATH Keywords

diffusion equationboundary feedbackdistributed parameter systemfunctional observer

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Initial-boundary value problems for second-order parabolic equations (35K20) Observability (93B07)

Related Items (8)

Existence of quadratic Lyapunov functionals for equations with unbounded operators in Hilbert space ⋮ Stabilization of Neumann boundary feedback of parabolic equations: The case of trace in the feedback loop ⋮ Feedback stabilization of parabolic systems by a modal compensator ⋮ The operator equation \(AX-XB=C\), admissibility, and asymptotic behavior of differential equations ⋮ Regulator problem for infinite-dimensional systems ⋮ Compensators for infinite dimensional linear systems ⋮ On the stabilization of diffusion equations: Boundary observation and feedback ⋮ The operator equation \(AX-XB=C\) with unbounded operators \(A\) and \(B\) and related abstract Cauchy problems

Cites Work

• Unnamed Item
• Unnamed Item
• On the operator equation \(BX - XA = Q\)
• Feedback stabilization for distributed parameter systems of parabolic type. II
• Feedback stabilization for distributed parameter systems of parabolic type. III
• On the stabilizability problem in Banach space
• Feedback stabilization for distributed parameter systems of parabolic type
• Fundamental solutions of parabolic differential equations and boundary value problems
• Feedback Stabilization of Distributed Parameter Systems by a Functional Observer
• Feedback stabilization of a class of distributed systems and construction of a state estimator
• On Pole Assignment for a Class of Infinite Dimensional Linear Systems

This page was built for publication: Feedback stabilization of diffusion equations by a functional observer