Results 31 to 40 of about 282 (64)

Asymptotic behavior of solutions of a viscoelastic Shear beam model with no rotary inertia: General and optimal decay results

Open Mathematics
In this study, we consider a viscoelastic Shear beam model with no rotary inertia. Specifically, we study ρ1φtt−κ(φx+ψ)x+(g∗φxx)(t)=0,−bψxx+κ(φx+ψ)=0,\begin{array}{rcl}{\rho }_{1}{\varphi }_{tt}-\kappa {\left({\varphi }_{x}+\psi )}_{x}+\left(g\ast ...
Al-Mahdi Adel M.
doaj   +1 more source

A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

Demonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa, Yazid Fares, Boulaaras Salah Mahmoud   +2 more
doaj   +1 more source

Rapid exponential stabilization of a 1-D transmission wave equation with in-domain anti-damping [PDF]

Vol. 19, No. 6, pp. 1-11, November 2017, 2018
We consider the problem of pointwise stabilization of a one-dimensional wave equation with an internal spatially varying anti-damping term. We design a feedback law based on the backstepping method and prove exponential stability of the closed-loop system with a desired decay rate.
arxiv   +1 more source

A Remark on Monotone I/O Systems [PDF]

arXiv, 2005
This note remarks that small-gain results for a negative feedback loop around a monotone system can be seen as consequences of results concerning an extended monotone system.
arxiv  

Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators [PDF]

arXiv, 2009
We use an averaging approach to prove bifurcation of asymptotically stable periodic solutions in a bi-linear oscillator whose one spring has nearly infinite stiffness. This leads to a singularly perturbed problem where the classical theory does not apply.
arxiv  

On nonuniform exponential stability for skew-evolution semiflows on Banach spaces [PDF]

arXiv, 2010
The paper considers some concepts of nonuniform asymptotic stability for skew-evolution semiflows on Banach spaces. The obtained results clarify differences between the uniform and nonuniform cases. Some examples are included to illustrate the results.
arxiv  

Energy decay of a coupled system involving a biharmonic Schrödinger equation with an internal fractional damping

Demonstratio Mathematica
In this work, we investigate the stabilization problem for coupled biharmonic Schrödinger equations with fractional internal damping. First, we establish that the system is well-posed using the semigroup theory of linear operators. Second, we demonstrate
Mtiri Foued, Chaili Amina, Bchatnia Ahmed, Beniani Abderrahmane   +3 more
doaj   +1 more source

Stability of time-varying nonlinear switching systems under perturbations [PDF]

arXiv, 2011
Using a Liao-type exponent, we study the stability of a time-varying nonlinear switching system.
arxiv  

A criterion of simultaneously symmetrization and spectral finiteness for a finite set of real 2-by-2 matrices [PDF]

arXiv, 2011
In this paper, we consider the simultaneously symmetrization and spectral finiteness for a finite set of real 2-by-2 matrices.
arxiv  

Stabilization by switching control methods [PDF]

arXiv, 2011
In this paper we consider some stabilization problems for the wave equation with switching. We prove exponential stability results for appropriate damping coefficients. The proof of the main results is based on D'Alembert formula and some energy estimates.
arxiv