Feedback stabilization for distributed parameter systems of parabolic type

DOI10.1016/0022-0396(79)90086-XzbMath0379.35035MaRDI QIDQ1247540

Takao Nambu

Publication date: 1979

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

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Qualitative properties of solutions to partial differential equations (35B99)

Related Items (11)

General servomechanism problems for distributed parameter systems ⋮ A parametric approach to finite-dimensional control of linear distributed-parameter systems ⋮ Observability, controllability, and feedback stabilizability for evolution equations, I ⋮ Output stabilisation for a class of linear parabolic differential equations ⋮ Observability, controllability, and feedback stabilizability for evolution equations, II ⋮ Boundary feedback stabilizability of parabolic equations ⋮ Observability, controllability, and feedback stabilizability for evolution equations, III ⋮ Feedback stabilization of diffusion equations by a functional observer ⋮ Feedback stabilization for distributed parameter systems of parabolic type. III ⋮ Compensators for infinite dimensional linear systems ⋮ Feedback stabilization for distributed parameter systems of parabolic type. II

Cites Work

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• On the stabilizability problem in Banach space
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• Observability and Related Problems for Partial Differential Equations of Parabolic Type
• Observers for systems characterized by semigroups
• Feedback stabilization of a class of distributed systems and construction of a state estimator
• Asymptotic stability and energy decay rates for solutions of hyperbolic equations with boundary damping
• Asymptotic Behavior of Solutions of a Class of Nonlinear Differential Equations in Banach Space

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