Results 21 to 30 of about 68 (67)

Lack of Time-Delay Robustness for Stabilization of a Structural Acoustics Model [PDF]

, 1999
In this paper we consider a natural robustness question for a model for structural acoustics. This model, which has been of great interest in recent years, is represented by a wave equation in R^2 coupled to a Kelvin--Voigt beam; the coupling is natural ...
Lasiecka, Irena, Avalos, George, Rebarber, Richard   +2 more
core   +1 more source

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

New results on asymptotic stability of time-varying nonlinear systems with applications [PDF]

In this paper, we present a converse Lyapunov theorem for the new notion of global generalized practical uniform h-stability of nonlinear systems of differential equations.
DAMAK, Hanen, HAMMAMI, Mohamed Ali, KICHA, Abir   +2 more
core   +1 more source

Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with distributed delay

Demonstratio Mathematica
In 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, Boulaaras Salah, Jan Rashid, Alnegga Mohammad   +3 more
doaj   +1 more source

On a coupled system of viscoelastic wave equation of infinite memory with acoustic boundary conditions [PDF]

This work deals with a coupled system of viscoelastic wave equation of infinite memory with mixed Dirichlet-Neumann boundary conditions. The coupling is via the acoustic boundary conditions on a portion of the boundary.
BOUKHATEM, Yamna, LIMAM, Abdelaziz, BENYATTOU, Benabderrahmane   +2 more
core   +1 more source

Stability of equilibria in a model for electrohydraulic servosystems

, 2020
The mathematical model of an electrohydraulic servomechanism is developed and a theorem on the stability of equilibria is proved.
Andrei Halanay, Ioan Ursu
core  

Blow-up of solutions for Euler-Bernoulli equation with nonlinear time delay

Open Mathematics
We study the Euler-Bernoulli equations with time delay: utt+Δ2u−g1∗Δ2u+g2∗Δu+μ1ut(x,t)∣ut(x,t)∣m−2+μ2ut(x,t−τ)∣ut(x,t−τ)∣m−2=f(u),{u}_{tt}+{\Delta }^{2}u-{g}_{1}\ast {\Delta }^{2}u+{g}_{2}\ast \Delta u+{\mu }_{1}{u}_{t}\left(x,t){| {u}_{t}\left(x,t ...
Lin Rongrui, Gao Yunlong, She Lianbing
doaj   +1 more source

Absolute stability of switched lurie systems

Applied Mathematics in Science and Engineering
This paper investigates the absolute stability problem of switched Lurie systems. Based on two new switched time-varying Lyapunov-Lurie functions, sufficient conditions for the absolute stability of the switched Lurie systems are provided under the ...
Qiang Yu, Junzhou Li, Yanping Guo
doaj   +1 more source

Neural network quaternion-based controller for port-Hamiltonian system

Demonstratio Mathematica
In 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., Serrano Fernando E., Batrancea Larissa M.   +2 more
doaj   +1 more source

On the Output Stabilizability of the Diffusion Equation

, 2020
This note is devoted to study the output stabilizability of a simplified and a one-dimensional diffusion equation. Necessary and sufficient conditions for the system to be output stabilizable will be given.
Faouzi Haddouchi
core