Exponential stability of string system with variable coefficients under non-collocated feedback controls

DOI10.1002/ASJC.255zbMath1248.93142OpenAlexW2046463855WikidataQ53225546 ScholiaQ53225546MaRDI QIDQ2895269

Zhong-Jie Han, Gen-Qi Xu, Dongyi Liu, Yun Lan Chen

Publication date: 2 July 2012

Published in: Asian Journal of Control (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/asjc.255

zbMATH Keywords

Riesz basiseigenvalueexponential stabilitynon-collocated feedback controlvariable coefficient string system

Mathematics Subject Classification ID

Feedback control (93B52) Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20)

Related Items (7)

Boundary stabilization for a star-shaped network of variable coefficients strings linked by a point mass ⋮ Stabilization for a cable with tip mass under boundary input disturbance ⋮ Asymptotic behavior of non‐uniform Timoshenko beam acting on shear force with feedback controller ⋮ Stabilization of serially connected hybrid PDE–ODE system with unknown external disturbances ⋮ A new approach for the stability analysis of wave networks ⋮ Exponential stability of uniform Euler-Bernoulli beams with non-collocated boundary controllers ⋮ Stabilization and SDG condition of serially connected vibrating strings system with discontinuous displacement

Cites Work

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• Semigroups of linear operators and applications to partial differential equations
• The expansion of a semigroup and a Riesz basis criterion
• Exponential decay rate for a Timoshenko beam with boundary damping
• Exponential stability of variable coefficients Rayleigh beams under boundary feedback controls: a Riesz basis approach
• Dynamic stabilization of an Euler-Bernoulli beam under boundary control and non-collocated observation
• Virtual passive control of flexible arms with collocated and noncollocated feedback
• Riesz basis property of serially connected Timoshenko beams
• Boundary Control of the Timoshenko Beam
• Stabilization of Timoshenko Beam by Means of Pointwise Controls
• The Riesz basis property of a Timoshenko beam with boundary feedback and application
• Riesz basis property of the generalized eigenvector system of a Timoshenko beam
• Riesz Basis Property and Exponential Stability of Controlled Euler--Bernoulli Beam Equations with Variable Coefficients
• Boundary feedback exponential stabilization of a Timoshenko beam with both ends free
• Exact Controllability and Stabilization of a Vibrating String with an Interior Point Mass
• The Stabilization of a One-Dimensional Wave Equation by Boundary Feedback With Noncollocated Observation

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