Exponential stabilization of fully dynamic and electrostatic piezoelectric beams with delayed distributed damping feedback
DOI10.1007/s00033-020-01457-8zbMath1466.35336OpenAlexW3119142971WikidataQ115609379 ScholiaQ115609379MaRDI QIDQ2026453
Publication date: 19 May 2021
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-020-01457-8
exponential stabilityelectrostaticpiezoelectric beamfully dynamicdistributed feedback controltime delayed control
Feedback control (93B52) PDEs in connection with optics and electromagnetic theory (35Q60) Stability in context of PDEs (35B35) Vibrations in dynamical problems in solid mechanics (74H45) Electromagnetic effects in solid mechanics (74F15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) PDEs in connection with mechanics of deformable solids (35Q74) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) PDEs on time scales (35R07)
Related Items
Cites Work
- 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
- Stabilization of the wave equation with boundary or internal distributed delay.
- Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks
- Semigroups of linear operators and applications to partial differential equations
- Dynamic and electrostatic modeling for a piezoelectric smart composite and related stabilization results
- Equivalence between exponential stabilization and boundary observability for piezoelectric beams with magnetic effect
- Modeling and Stabilizability of Voltage-Actuated Piezoelectric Beams with Magnetic Effects
- Long-time dynamics for a nonlinear Timoshenko system with delay
- 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
- Modeling and Controlling an Active Constrained Layer (ACL) Beam Actuated by Two Voltage Sources With/Without Magnetic Effects
- Exponential stability and numerical treatment for piezoelectric beams with magnetic effect
- Smart Material Systems
- Two examples of ill-posedness with respect to small time delays in stabilized elastic systems