Stabilization of a nonlinear rotating disk-beam system with localized thermal effect

DOI10.1007/s11071-018-4227-9zbMath1398.93285OpenAlexW2795221154WikidataQ130034734 ScholiaQ130034734MaRDI QIDQ1798854

Huan Geng, Jing Wang, Zhong-Jie Han, Gen-Qi Xu

Publication date: 23 October 2018

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-018-4227-9

zbMATH Keywords

stabilizationexponential stabilityelastic beamthermal effecttorque control

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Control/observation systems governed by partial differential equations (93C20) Stabilization of systems by feedback (93D15) Thermal effects in solid mechanics (74F05) Asymptotic stability in control theory (93D20) PDEs in connection with control and optimization (35Q93)

Related Items (6)

Exponential stabilization of a flexible structure: a delayed boundary force control versus a delayed boundary moment control ⋮ On the elimination of infinite memory effects on the stability of a nonlinear non-homogeneous rotating body-beam system ⋮ Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay ⋮ Exponential stabilization of a non-uniform rotating disk-beam system via a torque control and a finite memory type dynamic boundary control ⋮ Stabilization of a Rotating Disk-Beam System with Infinite Memory via Minimal State Variable: A Moment Control Case ⋮ The sharp decay rate of thermoelastic transmission system with infinite memories

Uses Software

• Matlab

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stabilization of memory type for a rotating disk-beam system
• Exponential stability of a non-homogeneous rotating disk-beam-mass system
• Infinite-dimensional Luenberger-like observers for a rotating body-beam system
• Strong asymptotic stability of linear dynamical systems in Banach spaces
• Stabilization of the rotating disk-beam system with a delay term in boundary feedback
• A simple approach to dynamic stabilization of a rotating body-beam
• Semigroups of linear operators and applications to partial differential equations
• Rotational elastic dynamics
• Control and stabilization of a rotating flexible structure
• Constrained relative motions in rotational mechanics
• A note on the equations of a thermoelastic plate
• The active disturbance rejection control of the rotating disk–beam system with boundary input disturbances
• A Minimal State Approach to Dynamic Stabilization of the Rotating Disk-Beam System With Infinite Memory
• On the Stabilization of the Disk-Beam System via Torque and Direct Strain Feedback Controls
• On the Spectrum of C 0 -Semigroups
• Spectral Theory for Contraction Semigroups on Hilbert Space
• Nonlinear feedback stabilization of a rotating body-beam without damping
• Stabilizability and stabilization of a rotating body-beam system with torque control
• Stabilization of a rotating body beam without damping
• Spectral Methods in MATLAB
• Boundary feedback stabilization of a rotating body-beam system
• Analyticity of thermo-elastic semigroups with coupled hinged/Neumann boundary conditions

This page was built for publication: Stabilization of a nonlinear rotating disk-beam system with localized thermal effect