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Practical Exponential Stability of Impulsive Stochastic Reaction–Diffusion Systems With Delays
IEEE Transactions on Cybernetics, 2020 This article studies the practical exponential stability of impulsive stochastic reaction–diffusion systems (ISRDSs) with delays. First, a direct approach and the Lyapunov method are developed to investigate the $p$ th moment practical exponential ...
Qi Yao +3 more
semanticscholar +1 more source
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 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
doaj +1 more source
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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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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, 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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Advances in Mechanical Engineering, 2019 A novel framework of rapid exponential stability and optimal feedback control is investigated and analyzed for a class of nonlinear systems through a variant of continuous Lyapunov functions and Hamilton–Jacobi–Bellman equation.
Yan Li, Yuanchun Li
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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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Polynomial stability of evolution operators in Banach spaces [PDF]
Opuscula Mathematica, 2011 The paper considers three concepts of polynomial stability for linear evolution operators which are defined in a general Banach space and whose norms can increase not faster than exponentially.
Megan Mihail +2 more
doaj +1 more source