Exponential stabilization of variable coefficient wave equations in a generic tree with small time-delays in the nodal feedbacks
From MaRDI portal
Publication:448275
DOI10.1016/j.jmaa.2012.05.079zbMath1246.93089OpenAlexW1966702624WikidataQ53225475 ScholiaQ53225475MaRDI QIDQ448275
Yan Ni Guo, Yun Lan Chen, Ya Xuan Zhang, Gen-Qi Xu
Publication date: 30 August 2012
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.05.079
Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Asymptotic stability in control theory (93D20) Operator-theoretic methods (93B28) PDEs in connection with control and optimization (35Q93)
Related Items
The exponential decay rate of generic tree of 1-d wave equations with boundary feedback controls ⋮ Nonlinear boundary stabilization of the wave equations with variable coefficients and time dependent delay ⋮ 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 ⋮ Uniform Stabilization of 1-D Coupled Wave Equations with Anti-dampings and Joint Delayed Control ⋮ A new approach for the stability analysis of wave networks ⋮ Rapid stabilisation of an Euler–Bernoulli beam with the internal delay control ⋮ Stability and spectral properties of general tree-shaped wave networks with variable coefficients
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Feedback stabilization of a class of evolution equations with delay
- Stability of the heat and of the wave equations with boundary time-varying delays
- Stability and Riesz basis property of a star-shaped network of Euler-Bernoulli beams with joint damping
- Semigroups of linear operators and applications to partial differential equations
- Boundary problems for ordinary differential equations with parameter in the boundary conditions
- Linear integral equations.
- Modeling, analysis and control of dynamic elastic multi-link structures
- The eigenvalue problem for networks of beams
- Stabilization of generic trees of strings
- Basis property of eigenfunctions of nonselfadjoint operator pencils generated by the equation of nonhomogeneous damped string
- Stabilization of star-shaped networks of strings.
- Stabilization of the wave equation on 1-D networks with a delay term in the nodal feedbacks
- Wave propagation, observation and control in 1-\(d\) flexible multi-structures.
- Stabilization of wave systems with input delay in the boundary control
- Riesz basis property of serially connected Timoshenko beams
- Stabilization of the Wave Equation on 1-d Networks
- Stability and Instability Results of the Wave Equation with a Delay Term in the Boundary or Internal Feedbacks
- An Example on the Effect of Time Delays in Boundary Feedback Stabilization of Wave Equations
- Modeling, Stabilization and Control of Serially Connected Beams
- Exponential Stability Analysis of a Long Chain of Coupled Vibrating Strings with Dissipative Linkage
- Control of networks of Euler-Bernoulli beams
- Riesz Basis Property of Evolution Equations in Hilbert Spaces and Application to a Coupled String Equation
- On exact controllability of generic trees
- Abstract Second Order Hyperbolic System and Applications to Controlled Network of Strings
- Riesz basis and stabilization for the flexible structure of a symmetric tree‐shaped beam network