Active control of a smart beam with time delay by Legendre wavelets

DOI10.1016/j.amc.2012.02.057zbMath1245.74032OpenAlexW2075130554MaRDI QIDQ440815

Ismail Kucuk, Yalcin Yilmaz, Ibrahim S. Sadek

Publication date: 19 August 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.057

zbMATH Keywords

time delayactive controlLegendre waveletsmodal expansionbeam structure

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Application models in control theory (93C95) Electromagnetic effects in solid mechanics (74F15) Numerical methods for wavelets (65T60)

Related Items (6)

Multi-valued random dynamics of stochastic wave equations with infinite delays ⋮ Random attractors for stochastic delay wave equations on \(\mathbb{R}^n\) with linear memory and nonlinear damping ⋮ Pullback attractors for a strongly damped delay wave equation in ℝn ⋮ A nonlinear plate control without linearization ⋮ Exact solutions and numerical approximations of mixed problems for the wave equation with delay ⋮ A new approach for the coupled advection-diffusion processes including source effects

Cites Work

• Unnamed Item
• Numerical solutions of optimal control for time delay systems by hybrid of block-pulse functions and Legendre polynomials
• Optimal control of time-delay systems with distributed parameters
• Necessary and sufficient conditions for the optimal control of distributed parameter systems subject to integral constraints
• Linear operator theory in engineering and science. Repr. of the 1971 orig., publ. by Holt, Rinehart \& Winston, Inc.
• The linear Legendre mother wavelets operational matrix of integration and its application
• A computational method for solving optimal control of a system of parallel beams using Legendre wavelets
• Suboptimal control of linear systems with delays in state and input by orthonormal basis
• A Maximum Principle for Nonconservative Self-Adjoint Systems
• A Discrete Optimal Control Method for a Flexible Cantilever Beam with Time Delay
• Techniques for solving integral and differential equations by Legendre wavelets
• Optimal control of a class of time-delayed distributed systems by orthogonal functions

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