Results 11 to 20 of about 148,648 (315)

Characterizations of Global Transversal Exponential Stability [PDF]

open access: yesIEEE Transactions on Automatic Control, 2021
We study the relationship between the global exponential stability of an invariant manifold and the existence of a positive semi-definite Riemannian metric which is contracted by the flow. In particular, we investigate how the following properties are related to each other (in the global case): i).
Vincent Andrieu   +2 more
openaire   +2 more sources

Stability of Cayley dynamic systems with impulsive effects

open access: yesJournal of Inequalities and Applications, 2023
Linear dynamic systems with impulsive effects are considered. For such a system we define a new impulsive exponential matrix. Necessary and sufficient conditions for exponential stability and boundedness have been established.
Awais Younus   +4 more
doaj   +1 more source

H Control of Discrete-Time Stochastic Systems With Borel-Measurable Markov Jumps

open access: yesIEEE Access, 2020
This paper is concerned with a kind of discrete-time stochastic systems with Markov jump parameters taking values in a Borel measurable set. First, both strong exponential stability and exponential stability in the mean square sense are introduced for ...
Hongji Ma, Yuechen Cui, Yongli Wang
doaj   +1 more source

Quantitative Mean Square Exponential Stability and Stabilization of Linear Itô Stochastic Markovian Jump Systems Driven by Both Brownian and Poisson Noises

open access: yesMathematics, 2022
In this paper, quantitative mean square exponential stability and stabilization of Itô-type linear stochastic Markovian jump systems with Brownian and Poisson noises are investigated.
Gaizhen Chang   +4 more
doaj   +1 more source

Exponential Stability of Evolutionary Equations [PDF]

open access: yes, 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
openaire   +1 more source

An Algebraic Condition for the Exponential Stability of an Upwind Difference Scheme for Hyperbolic Systems

open access: yesСовременная математика: Фундаментальные направления, 2022
In the paper, we investigate the question of obtaining the algebraic condition for the exponential stability of the numerical solution of the upwind difference scheme for the mixed problem posed for onedimensional symmetric t-hyperbolic systems with ...
R. D. Aloev, D. E. Nematova
doaj   +1 more source

Exponential Stability of Nonlinear Time-Varying Delay Differential Equations via Lyapunov–Razumikhin Technique

open access: yesMathematics, 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
doaj   +1 more source

On the stability of exponential backoff

open access: yesJournal of Research of the National Institute of Standards and Technology, 2003
Random access schemes for packet networks featuring distributed control require algorithms and protocols for resolving packet collisions that occur as the uncoordinated terminals contend for the channel. A widely used collision resolution protocol is the exponential backoff (EB).
Song, Nah-Oak   +2 more
openaire   +2 more sources

Almost sure exponential stability of backward Euler–Maruyama discretizations for hybrid stochastic differential equations [PDF]

open access: yes, 2011
This is a continuation of the first author's earlier paper [1] jointly with Pang and Deng, in which the authors established some sufficient conditions under which the Euler-Maruyama (EM) method can reproduce the almost sure exponential stability of the ...
Shen, Yi   +5 more
core   +1 more source

Lyapunov stability analysis for nonlinear delay systems under random effects and stochastic perturbations with applications in finance and ecology

open access: yesAdvances in Difference Equations, 2021
This manuscript is involved in the study of stability of the solutions of functional differential equations (FDEs) with random coefficients and/or stochastic terms.
Abdulwahab Almutairi   +3 more
doaj   +1 more source

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