Exponential stabilization for Timoshenko beam with distributed delay in the boundary control

DOI10.1155/2013/726794zbMath1421.93120OpenAlexW2110155484WikidataQ58916774 ScholiaQ58916774MaRDI QIDQ2319028

Gen-Qi Xu, Xiu Fang Liu

Publication date: 16 August 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/726794

zbMATH Keywords

Timoshenko beamexponential stabilizationdelay in boundary control

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Asymptotic stability in control theory (93D20) Control of mechanical systems (70Q05)

Related Items (14)

Exponential stabilization of Timoshenko beam with input and output delays ⋮ Stabilization of the wave equation with interior input delay and mixed Neumann-Dirichlet boundary ⋮ Resolvent family for the evolution process with memory ⋮ Rapid stabilization of Timoshenko beam system with the internal delay control ⋮ One-parameter spectral Galerkin methods for Timoshenko beam system with delay boundary feedback ⋮ Controller design for distributed parameter systems with time delays in the boundary feedbacks via the backstepping method ⋮ Uniform stabilization of 1-d wave equation with anti-damping and delayed control ⋮ Dynamic feedback control and exponential stabilization of a compound system ⋮ Uniform Stabilization of 1-D Coupled Wave Equations with Anti-dampings and Joint Delayed Control ⋮ Exponential stabilty for a Timoshenko system with nonlocal delay ⋮ Rapid stabilisation of an Euler–Bernoulli beam with the internal delay control ⋮ Rapid stabilisation of multi-dimensional Schrödinger equation with the internal delay control ⋮ Uniform stabilization of a wave equation with partial Dirichlet delayed control ⋮ Some problems of linear differential equations on abstract spaces and unbounded perturbations of linear operator semigroup

Cites Work

• Unnamed Item
• Stabilization of the wave equation with boundary or internal distributed delay.
• Stabilization of an Euler-Bernoulli beam with input delay in the boundary control
• Controllability and stability of a second-order hyperbolic system with collocated sensor/actuator
• Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks
• Stabilisation of Timoshenko beam system with delay in the boundary control
• Output-based stabilization of Euler-Bernoulli beam with time-delay in boundary input
• Stabilization of wave systems with input delay in the boundary control
• Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
• Nonlinear damped Timoshenko systems with second sound-Global existence and exponential stability
• Stabilization and Riesz basis property of two serially connected Timoshenko beams system
• Boundary Control of the Timoshenko Beam
• Asymptotic stability of linear differential equations in Banach spaces
• Stabilization of Timoshenko Beam by Means of Pointwise Controls
• The Riesz basis property of a Timoshenko beam with boundary feedback and application
• Stability analysis of Euler‐Bernoulli beam with input delay in the boundary control

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