Adaptive stabilization of a Timoshenko system by boundary feedback controls

DOI10.1002/MMA.7803zbMath1530.35042MaRDI QIDQ6148831

Jamilu Hashim Hassan, Nasser-eddine Tatar

Publication date: 12 January 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

boundary controlclosed-loop systemexponential stabilityadaptive stabilizationTimoshenko system

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Stabilization of systems by feedback (93D15) Asymptotic behavior of solutions to PDEs (35B40) Adaptive control/observation systems (93C40) Adaptive or robust stabilization (93D21) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (1)

Global well-posedness and exponential decay of fully dynamic and electrostatic or quasi-static piezoelectric beams subject to a neutral delay

Cites Work

• Adaptive stabilization of a Kirchhoff's nonlinear beam with output disturbances
• Adaptive stabilization for a Kirchhoff-type nonlinear beam under boundary output feedback control
• Dynamic boundary control of the Timoshenko beam
• General and optimal decay in a memory-type Timoshenko system
• Adaptive stabilization of a Kirchhoff moving string
• Existence and new general decay results for a viscoelastic Timoshenko system
• Exponential decay for a viscoelastically damped Timoshenko beam
• Stability of Timoshenko systems with past history
• Contact-Force Control of a Flexible Timoshenko Arm
• Feedback stabilization of rotating Timoshenko beam with adaptive gain
• Boundary Control of the Timoshenko Beam
• Non-Identifier-Based Adaptive Control of Dynamical Systems: A Survey
• Simple Adaptive Controllers for Systems which are Stabilizable via High Gain Feedback
• The Riesz basis property of a Timoshenko beam with boundary feedback and application
• Asymptotic and Spectral Analysis of the Spatially Nonhomogeneous Timoshenko Beam Model
• Boundary feedback exponential stabilization of a Timoshenko beam with both ends free
• Stabilization of a viscoelastic Timoshenko beam
• Adaptive Boundary Control for Unstable Parabolic PDEs—Part I: Lyapunov Design
• Exponential stabilization of a neutrally delayed viscoelastic Timoshenko beam
• Adaptive regulator design for a class of infinite-dimensional second-order systems

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