Results 11 to 20 of about 403 (50)
Study of exponential stability of coupled wave systems via distributed stabilizer
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 8, Page 479-491, 2001., 2001 Stabilization of the system of wave equations coupled in parallel with coupling distributed springs and viscous dampers are under investigation due to different boundary conditions and wave propagation speeds. Numerical computations are attempted to confirm the theoretical results.
Mahmoud Najafi
wiley +1 more source
General decay in a Timoshenko-type system with thermoelasticity with second sound
Advances in Nonlinear Analysis, 2015 In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of solutions using the semi-group theory.
Ayadi Mohamed Ali +3 more
doaj +1 more source
Inertial manifolds and stabilization of nonlinear beam equations with Balakrishnan‐Taylor damping
Abstract and Applied Analysis, Volume 1, Issue 1, Page 83-102, 1996., 1996 In this paper we study a hinged, extensible, and elastic nonlinear beam equation with structural damping and Balakrishnan‐Taylor damping with the full exponent 2(n + β) + 1. This strongly nonlinear equation, initially proposed by Balakrishnan and Taylor in 1989, is a very general and useful model for large aerospace structures.
Yuncheng You
wiley +1 more source
Tracking control of a flexible beam by nonlinear boundary feedback
International Journal of Stochastic Analysis, Volume 8, Issue 1, Page 47-58, 1995., 1994 This paper is concerned with tracking control of a dynamic model consisting of a flexible beam rotated by a motor in a horizontal plane at the one end and a tip body rigidly attached at the free end. The well‐posedness of the closed loop systems considering the dissipative nonlinear boundary feedback is discussed and the asymptotic stability about ...
Bao-Zhu Guo, Qian Song
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Nonautonomous Dynamical Systems, 2017 The asymptotic stability of one-dimensional linear Bresse systems under infinite memories was obtained by Guesmia and Kafini [10] (three infinite memories), Guesmia and Kirane [11] (two infinite memories), Guesmia [9] (one infinite memory acting on the ...
Guesmia Aissa
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Advances in Nonlinear Analysis, 2018 In this paper, we consider the following Timoshenko system of thermo-viscoelasticity of type III with frictional damping and delay terms:
Chen Miaomiao, Liu Wenjun, Zhou Weican
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Singular estimates and uniform stability of coupled systems of hyperbolic/parabolic PDEs
, 2002 Abstract and Applied Analysis, Volume 7, Issue 4, Page 169-237, 2002.
F. Bucci, I. Lasiecka, R. Triggiani
wiley +1 more source
Stabilization to trajectories for parabolic equations [PDF]
Mathematics of Control, Signals, and Systems, June 2018, 2016 The feedback exponential stabilization to trajectories for semilinear parabolic equations in a given bounded domain is addressed. The controls take values in a finite-dimensional space and are supported in a small region. Both internal and boundary controls are considered.
arxiv +1 more source
Demonstratio MathematicaIn this study, we address a Cauchy problem within the context of the one-dimensional Timoshenko system, incorporating a distributed delay term. The heat conduction aspect is described by the Lord-Shulman theory.
Choucha Abdelbaki +3 more
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Neural network quaternion-based controller for port-Hamiltonian system
Demonstratio MathematicaIn this research article, a control approach for port-Hamiltonian PH systems based in a neural network (NN) quaternion-based control strategy is presented. First, the dynamics is converted by the implementation of a Poisson bracket in order to facilitate
Alsaadi Fawaz E. +2 more
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