Covariant functors and asymptotic stability
Journal of Algebra, 2017 Let R be a commutative Noetherian ring, I and J ideals of R and M a finitely generated R-module. Let F be a covariant R-linear functor from the category of finitely generated R-modules to itself. We first show that if F is coherent, then the sets of associated primes of F(M/I^n M) and F(I^n-1 M / I^n M) and the J-depths of F(M/I^n M) and F(I^n-1 M / I ...
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A Sufficient Condition for Asymptotic Stability of Discrete-Time Interval System with Delay
Discrete Dynamics in Nature and Society, 2008 The asymptotic stability of discrete-time interval system with delay is discussed. A new sufficient condition for preserving the asymptotic stability of the system is presented by means of the inequality techniques.
Wei Zhu
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STABILITY AND STABILIZATION OF NONLINEAR DYNAMICAL SYSTEMS
ASEAN Journal on Science and Technology for Development, 2017 Exponential and asymptotic stability for a class of nonlinear dynamical systems with uncertainties is investigated. Based on the stability of the nominal system, a class of bounded continuous feedback controllers is constructed.
P. Sattayatham, R. Saelim, S. Sujitjorn
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Global asymptotic stability in a pseudorabies virus model with age structure. [PDF]
Infect Dis Model, 2023 Chen Y, Long Y, Yu J.
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The asymptotic stability of difference equations
Applied Mathematics Letters, 2000 The paper discusses the stability properties of the linear delay difference equation \[ x_{n+1}-x_n=-a_nx_{n-k} , \tag{1} \] where \(a_n\geq 0\) and \(k\geq 1\). As the main result it is proved that if \[ \sum_{n=0}^{\infty}a_n=\infty \tag{"(C1)"} \] and \[ \underset{n\to\infty}\limsup \sum_{j=n-2k}^{n-1 ...
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Global asymptotic stability of a delay differential equation model for SARS-CoV-2 virus infection mediated by ACE2 receptor protein. [PDF]
Appl Math Lett, 2023 Lv J, Ma W.
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Asymptotic consensus of hybrid multi-agent systems considering network attacks
Scientific ReportsThis paper focuses on the problem of active defense and achieving asymptotic consensus control in hybrid multi-agent systems under network attacks. Considering the influence of Byzantine nodes, on the basis of the theory of mimic defense, a deep dynamic ...
Dongwei Wang, Ying Zhang
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A weak invariance principle and asymptotic stability for evolution equations with bounded generators
International Journal of Mathematics and Mathematical Sciences, 1995 If V is a Lyapunov function of an equation du/dt=u′=Zu in a Banach space then asymptotic stability of an equilibrium point may be easily proved if it is known that sup(V′)
E. N. Chukwu, P. Smoczynski
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Positivity and Asymptotic Stability of Descriptor Linear Systems with Regular Pencils
Archives of Control Sciences, 2014 The positivity and asymptotic stability of the descriptor linear continuous-time and discrete-time systems with regular pencils are addressed. Necessary and sufficient conditions for the positivity and asymptotic stability of the systems are established ...
Kaczorek Tadeusz
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Global asymptotic stability of the active disassembly model of flagellar length control. [PDF]
J Math Biol, 2021 Fai TG, Park Y.
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