Results 41 to 50 of about 4,012,994 (361)
Exponential stability of Hopfield neural networks of neutral type with multiple time-varying delays
AIMS Mathematics, 2021 This paper investigates the problem for exponential stability of Hopfield neural networks of neutral type with multiple time-varying delays. Different from the existing results, the states of the neurons involve multiple time-varying delays and time ...
Li Wan +3 more
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Asymptotic stability equals exponential stability, and ISS equals finite energy gain---if you twist your eyes [PDF]
, 1998 In this paper we show that uniformly global asymptotic stability for a family of ordinary differential equations is equivalent to uniformly global exponential stability under a suitable nonlinear change of variables.
Grüne, Lars +2 more
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Exponential stability and partial averaging
Journal of Mathematical Analysis and Applications, 2003 The initial value problem for the system \(\dot{x}(t)=\varepsilon f(\varepsilon t,t, x(t))\), \(x(t_{0})=x_{0}\), is considered, where \(\varepsilon >0\) is a small parameter. The corresponding partially averaged system is \(\dot{z}(t)=\varepsilon f^{0}(\varepsilon t,z(t))\), \(z(t_{0})=x_{0}\), with \(f^{0}(s,x)=\lim_{T\rightarrow \infty}\frac{1}{T ...
Grammel, G., Maizurna, Isna
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Abstract and Applied Analysis, 2012 The numerical approximation of exponential Euler method is constructed for semilinear stochastic differential equations (SDEs). The convergence and mean-square (MS) stability of exponential Euler method are investigated. It is proved that the exponential
Chunmei Shi, Yu Xiao, Chiping Zhang
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Stability of constant retrial rate systems with NBU input* [PDF]
, 2016 We study the stability of a single-server retrial queueing system with constant retrial rate, general input and service processes. First, we present a review of some relevant recent results related to the stability criteria of similar systems. Sufficient
Avrachenkov, K. +3 more
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Exponential stability of abstract evolution equations with time delay [PDF]
, 2014 We consider abstract semilinear evolution equations with a time delay feedback. We show that, if the $C_0$-semigroup describing the linear part of the model is exponentially stable, then the whole system retains this good property when a suitable ...
Nicaise, Serge, Pignotti, Cristina
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Frontiers in Physiology, 2017 Over the last decades, various measures have been introduced to assess stability during walking. All of these measures assume that gait stability may be equated with exponential stability, where dynamic stability is quantified by a Floquet multiplier or ...
Espen A. F. Ihlen +5 more
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, 2020 Primal-dual gradient dynamics that find saddle points of a Lagrangian have been widely employed for handling constrained optimization problems. Building on existing methods, we extend the augmented primal-dual gradient dynamics (Aug-PDGD) to incorporate ...
Li, Na, Qu, Guannan, Tang, Yujie
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On (non-)exponential decay in generalized thermoelasticity with two temperatures [PDF]
, 2016 Konstanzer Schriften in Mathematik ; 355We study solutions for the one-dimensional problem of the Green-Lindsay and the Lord-Shulman theories with two temperatures. First, existence and uniqueness of weakly regular solutions are obtained.
Leseduarte Milán, María Carme +2 more
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Exponential stability for nonlinear filtering [PDF]
Annales de l'Institut Henri Poincare (B) Probability and Statistics, 1997 The authors study the asymptotic dependence of the optimal filter on the initial law of the signal, and the relation between this dependence and the corrupting noise intensity. This is relevant for numerical and practical computations of the approximations of the filter.
Rami Atar, Ofer Zeitouni
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