Results 1 to 10 of about 96 (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 bound- ary conditions and wave propagation speeds.
M. Najafi
semanticscholar +2 more sources
Spectral stabilization of linear transport equations with boundary and in-domain couplings
Comptes 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
Open 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
Some fixed point theorems of rational type contraction in b-metric spaces
Moroccan 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
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Polynomial stability of the wave equation with distributed delay term on the dynamical control
Nonautonomous 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
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On the stability of a strongly stabilizing control for degenerate systems in Hilbert spaces
Demonstratio 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
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Advances 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
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INPUT-TO-STATE STABILITY FINITE-TIME LYAPUNOV FUNCTIONS FOR CONTINUOUS-TIME SYSTEMS
Annals 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
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, 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
Efficient criteria for the stabilization of planar linear systems by hybrid feedback controls
Abstract and Applied Analysis, Volume 2004, Issue 6, Page 487-499, 2004., 2004 We suggest some criteria for the stabilization of planar linear systems via linear hybrid feedback controls. The results are formulated in terms of the input matrices. For instance, this enables us to work out an algorithm which is directly suitable for a computer realization. At the same time, this algorithm helps to check easily if a given linear 2 ×
Elena Litsyn +3 more
wiley +1 more source