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 of stationary solutions of the Schrodinger-Langevin equation
, 2003 The stability properties of a class of dissipative quantum mechanical systems are investigated. The nonlinear stability and asymptotic stability of stationary states (with zero and nonzero dissipation respectively) is investigated by Liapunov's direct ...
Arnold +48 more
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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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Stability of non-isolated asymptotic profiles for fast diffusion
, 2015 The stability of asymptotic profiles of solutions to the Cauchy-Dirichlet problem for Fast Diffusion Equation (FDE, for short) is discussed. The main result of the present paper is the stability of any asymptotic profiles of least energy.
Akagi, Goro
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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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ASYMPTOTIC STABILITY IN GENERAL DYNAMICAL SYSTEMS
Bulletin of the Korean Mathematical Society, 2004 Summary: We characterize asymptotic stability via Lyapunov functions in general dynamical systems on \(c\)-first countable spaces. We give a family of examples which have a first countable but not \(c\)-first countable, also a \(c\)-first countable and locally compact space but not metric space. We obtain several necessary and sufficient conditions for
Kim, Young Il +2 more
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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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Asymptotically stabilizing feedback controls
Journal of Differential Equations, 1991 The paper deals with the problem of the existence and construction of an asymptotically stabilizing feedback control for the zero solution of an \(n\)-dimensional, single-input, affine system: \(x=X_ 0(x)+uX_ 1(x)\), \(X_ 0(0)=0\), \(X_ 1(0)\neq 0\) where \(X_ 0(x)=\sum^ n_{i=2}a_ i(x){\partial\over \partial x_ i}\) and \(X_ 1=\partial/\partial x_ 1\).
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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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