Results 1 to 10 of about 531 (66)

Spectral stabilization of linear transport equations with boundary and in-domain couplings

open access: yesComptes rendus. Mathematique, 2022
. In this work, the problem of stabilization of general systems of linear transport equations with in-domain and boundary couplings is investigated. It is proved that the unstable part of the spectrum is of finite cardinal.
Mathias Dus   +2 more
semanticscholar   +1 more source

Some fixed point theorems of rational type contraction in b-metric spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
In this paper, we prove some common fixed point theorems satisfying contractive type mapping in the setting of b-metric spaces. The presented theorem is an extension the results of M. Sarwar and M. U.
Seddik Merdaci, Taieb Hamaizia
doaj   +1 more source

Exponential stability of Timoshenko system in thermoelasticity of second sound with a memory and distributed delay term

open access: yesOpen Mathematics, 2021
This article concerns linear one-dimensional thermoelastic Timoshenko system with memory and distributed delay terms where the Cattaneo law governs the heat flux q(x,t)q\left(x,t).
Moumen Abdelkader   +4 more
doaj   +1 more source

Polynomial stability of the wave equation with distributed delay term on the dynamical control

open access: yesNonautonomous Dynamical Systems, 2021
Using the frequency domain approach, we prove the rational stability for a wave equation with distributed delay on the dynamical control, after establishing the strong stability and the lack of uniform stability.
Silga Roland, Bayili Gilbert
doaj   +1 more source

On the stability of a strongly stabilizing control for degenerate systems in Hilbert spaces

open access: yesDemonstratio Mathematica, 2023
In this article, we explain how a recent Lyapunov theorem on stability plays a role in the study of the strong stabilizability problem in Hilbert spaces.
Hariri Mohamed   +3 more
doaj   +1 more source

Uniform decay estimates for the semi-linear wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic versus frictional dissipative effects

open access: yesAdvances in Nonlinear Analysis, 2023
We are concerned with the stabilization of the wave equation with locally distributed mixed-type damping via arbitrary local viscoelastic and frictional effects.
Jin Kun-Peng, Wang Li
doaj   +1 more source

INPUT-TO-STATE STABILITY FINITE-TIME LYAPUNOV FUNCTIONS FOR CONTINUOUS-TIME SYSTEMS

open access: yesAnnals of the Academy of Romanian Scientists Series on Mathematics and Its Application, 2020
In this paper we propose an input-to-state stability (ISS) criterion for continuous–time systems based on a finite–time decrease condition for a positive definite function of the norm of the state.
A. Doban, M. Lazar
semanticscholar   +1 more source

On the stability and stabilization of some semilinear fractional differential equations in Banach spaces

open access: yes, 2020
In this paper, we prove the existence and uniqueness of a mild solution to a class of semilinear fractional differential equation in an infinite Banach space with Caputo derivative order 0 < α ≤ 1.
R. G. Foko Tiomela   +3 more
semanticscholar   +1 more source

On the Benjamin-Bona-Mahony equation with a localized damping [PDF]

open access: yes, 2016
We introduce several mechanisms to dissipate the energy in the Benjamin-Bona-Mahony (BBM) equation. We consider either a distributed (localized) feedback law, or a boundary feedback law.
Rosier, Lionel
core   +4 more sources

A robust optimization approach for magnetic spacecraft attitude stabilization [PDF]

open access: yes, 2016
Attitude stabilization of spacecraft using magnetorquers can be achieved by a proportional–derivative-like control algorithm. The gains of this algorithm are usually determined by using a trial-and-error approach within the large search space of the ...
Bruni, Renato, Celani, Fabio
core   +1 more source

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