Stabilization of nonlinear non-uniform piezoelectric beam with time-varying delay in distributed control input
From MaRDI portal
Publication:6084159
DOI10.1016/j.jde.2023.08.031zbMath1526.35232MaRDI QIDQ6084159
Gen-Qi Xu, Zhong-Jie Han, Yan-Fang Li
Publication date: 31 October 2023
Published in: Journal of Differential Equations (Search for Journal in Brave)
stabilizationexponential stabilitytime-varying delayvariable coefficientnonlinear piezoelectric beam
Asymptotic behavior of solutions to PDEs (35B40) Asymptotic stability in control theory (93D20) Initial-boundary value problems for second-order hyperbolic systems (35L53)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Further stabilization and exact observability results for voltage-actuated piezoelectric beams with magnetic effects
- A stability result of a Timoshenko system with a delay term in the internal feedback
- Exponential stability of the wave equation with boundary time-varying delay
- Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks
- Stability of the heat and of the wave equations with boundary time-varying delays
- Semigroups of linear operators and applications to partial differential equations
- Attractors for certain nonlinear problems of mathematical physics
- Two questions concerning the boundary control of certain elastic systems
- An introduction to the theory of piezoelectricity.
- Mildly dissipative nonlinear Timoshenko systems -- global existence and exponential stability.
- Stabilization for partially dissipative laminated beams with non-constant coefficients
- Exponential stabilization of fully dynamic and electrostatic piezoelectric beams with delayed distributed damping feedback
- Global attractor for a suspension bridge problem with a nonlinear delay term in the internal feedback
- Stabilization results for well-posed potential formulations of a current-controlled piezoelectric beam and their approximations
- Energy decay for a weakly nonlinear damped piezoelectric beams with magnetic effects and a nonlinear delay term
- Exponential stability results for the boundary-controlled fully-dynamic piezoelectric beams with various distributed and boundary delays
- Exponential stability for magnetic effected piezoelectric beams with time-varying delay and time-dependent weights
- Dynamics of piezoelectric beams with magnetic effects and delay term
- Long-time behavior for a thermoelastic microbeam problem with time delay and the Coleman-Gurtin thermal law
- Longtime dynamics for a novel piezoelectric beam model with creep and thermo-viscoelastic effects
- Global existence and energy decay of solutions for a wave equation with non-constant delay and nonlinear weights
- Stabilization for wave equation of variable coefficients with Balakrishnan-Taylor damping and source term
- Equivalence between exponential stabilization and boundary observability for piezoelectric beams with magnetic effect
- Long-time dynamics for a fractional piezoelectric system with magnetic effects and Fourier's law
- Modeling and Stabilizability of Voltage-Actuated Piezoelectric Beams with Magnetic Effects
- 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
- Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
- Spectral Methods in MATLAB
- Exponential stability and numerical treatment for piezoelectric beams with magnetic effect
- On The Observability Inequalities for Exact Controllability of Wave Equations With Variable Coefficients
- Long time dynamics and upper semi-continuity of attractors for piezoelectric beams with nonlinear boundary feedback
- Uniform Stabilization of 1-D Coupled Wave Equations with Anti-dampings and Joint Delayed Control
- Two examples of ill-posedness with respect to small time delays in stabilized elastic systems
- General decay of the solution for a viscoelastic wave equation with a time-varying delay term in the internal feedback
This page was built for publication: Stabilization of nonlinear non-uniform piezoelectric beam with time-varying delay in distributed control input