Results 31 to 40 of about 4,012,994 (361)
Mathematics, 2023 In this article, some new sufficient conditions for the exponential stability of nonlinear time-varying delay differential equations are given. An extension of the classical asymptotical stability theorem in terms of a Lyapunov–Razumikhin function is ...
Natalya O. Sedova, Olga V. Druzhinina
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Almost sure exponential stability of numerical solutions for stochastic delay differential equations [PDF]
, 2010 Using techniques based on the continuous and discrete semimartingale convergence theorems, this paper investigates if numerical methods may reproduce the almost sure exponential stability of the exact solutions to stochastic delay differential equations (
A. Rodkina +28 more
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On the Exponential Stability of Primal-Dual Gradient Dynamics [PDF]
IEEE Control Systems Letters, 2018 Continuous time primal-dual gradient dynamics (PDGD) that find a saddle point of a Lagrangian of an optimization problem have been widely used in systems and control.
Guannan Qu, Na Li
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On Exponential Stability ofC0Semigroups
Journal of Mathematical Analysis and Applications, 1998 The authors consider \(C_0\)-semigroups \((T(t))_{t\geq 0}\) with generator A on Hilbert spaces X. They replace boundedness of \((T(t))_{t \geq 0}\) by an assumption on the domain of A and then characterize exponential stability of \((T(t))_{t \geq 0}\) by the boundedness of the resolvent \(R(i\tau, A)\), \(\tau \in \mathbb{R}\).
Yue-Hu Luo, De-Xing Feng
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Exponential Stability of Evolutionary Equations [PDF]
, 2021 AbstractIn this chapter we study the exponential stability of evolutionary equations. Roughly speaking, exponential stability of a well-posed evolutionary equation $$\displaystyle \left (\partial _{t,\nu }M(\partial _{t,\nu })+A\right )U=F $$ ∂
Christian Seifert +2 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 We add relevant references about which we learned after the completion of the initial work. We mainly show how the concept of exponential trichotomy can successfully replace the one of exponential dichotomy in some results from the paper in the title.
Adriana Buică
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Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations [PDF]
, 2007 Relatively little is known about the ability of numerical methods for stochastic differential equations (SDEs) to reproduce almost sure and small-moment stability.
Burrage K. +3 more
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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
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Datko-type theorems concerning asymptotic behaviour of exponential type in mean [PDF]
Opuscula MathematicaIn this paper, we study the concept of exponential (in)stability in mean for stochastic skew-evolution semiflows, in which the exponential (in)stability in the classical sense is replaced by an average with respect to a probability measure.
Pham Viet Hai
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On the Stability of Some Exponential Polynomials
Journal of Mathematical Analysis and Applications, 1997 The authors deal with the transcendental equation of the type \[ (z+ pz+ q)\exp(\tau z)+ rz=0, \] where \(p\), \(q\), \(r\), \(\mathbb{R}\), \(\tau, p>0\), \(q>0\), \(r=0\), \(n=0,1,2\). The main results are concerned with the case \(n=0\), which is important in the stability theory of delay.
Plácido Z. Táboas +1 more
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