Stabilization of the rotating disk-beam system with a delay term in boundary feedback

DOI10.1007/s11071-014-1592-xzbMath1345.93132OpenAlexW2032519128MaRDI QIDQ748101

Boumediène Chentouf

Publication date: 19 October 2015

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

Full work available at URL: https://doi.org/10.1007/s11071-014-1592-x

zbMATH Keywords

exponential stabilitynonlinear systemtorque controldelayed boundary force controlrotating flexible structure

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Feedback control (93B52) Stabilization of systems by feedback (93D15) Nonlinear systems in control theory (93C10) Plates (74K20) Partial functional-differential equations (35R10) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30) Integro-partial differential equations (35R09)

Related Items (8)

Improved results on the nonlinear feedback stabilisation of a rotating body-beam system ⋮ Effect compensation of the presence of a time-dependent interior delay on the stabilization of the rotating disk-beam system ⋮ Time-delayed feedback control of a hydraulic model governed by a diffusive wave system ⋮ 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 ⋮ 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 nonlinear rotating disk-beam system with localized thermal effect ⋮ Stabilization of a Rotating Disk-Beam System with Infinite Memory via Minimal State Variable: A Moment Control Case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Analysis of stability and Hopf bifurcation of delayed feedback spin stabilization of a rigid spacecraft
• Feedback stabilization of a class of evolution equations with delay
• Oscillations of a beam with a time-varying mass
• Feedback boundary stabilization of wave equations with interior delay
• Exact solution and stability of postbuckling configurations of beams
• Stability of the heat and of the wave equations with boundary time-varying delays
• Functional analysis, Sobolev spaces and partial differential equations
• Semigroups of linear operators and applications to partial differential equations
• Rotational elastic dynamics
• Control and stabilization of a rotating flexible structure
• Stabilization and optimal decay rate for a non-homogeneous rotating body-beam with dynamic boundary controls
• Stabilization of Second Order Evolution Equations with Unbounded Feedback with Time-Dependent Delay
• Orientation and stabilization of a flexible beam attached to a rigid body: planar motion
• Stabilization of wave systems with input delay in the boundary control
• Stabilization of second order evolution equations with unbounded feedback with delay
• 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
• Not All Feedback Stabilized Hyperbolic Systems are Robust with Respect to Small Time Delays in Their Feedbacks
• Lack of Uniform Stabilization for Noncontractive Semigroups Under Compact Perturbation
• A Note on Stabilization of Infinite Dimensional Linear Oscillators by Compact Linear Feedback
• Nonlinear feedback stabilization of a rotating body-beam without damping
• Stabilizability and stabilization of a rotating body-beam system with torque control
• Two examples of ill-posedness with respect to time delays revisited
• Stabilization of a rotating body beam without damping
• Boundary feedback stabilization of a rotating body-beam system
• Conditions for Robustness and Nonrobustness of the Stability of Feedback Systems with Respect to Small Delays in the Feedback Loop
• Exponential stability of second-order evolution equations with structural damping and dynamic boundary delay feedback
• Stability analysis of Euler‐Bernoulli beam with input delay in the boundary control

This page was built for publication: Stabilization of the rotating disk-beam system with a delay term in boundary feedback