Results 11 to 20 of about 134,749 (268)

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

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

Mathematics, 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, Tingkun Sun, Zhiguo Yan, Min Zhang, Xiaomin Zhou   +4 more
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Addendum to ``Ulam–Hyers stability and exponentially dichotomic equations in Banach spaces'' [Electron. J. Qual. Theory Differ. Equ. 2023, No. 8, 1–10]

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

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

Advances 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, H. El-Metwally, M. A. Sohaly, I. M. Elbaz   +3 more
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On the stability of exponential backoff

Journal 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, Kwak, Byung-Jae, Miller, Leonard E.   +2 more
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Exponential Stability of Nonlinear Time-Varying Delay Differential Equations via Lyapunov–Razumikhin Technique

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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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 \(R(i\tau, A)\), \(\tau \in \mathbb{R}\).
Luo, Yue-Hu, Feng, De-Xing
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Datko-type theorems concerning asymptotic behaviour of exponential type in mean [PDF]

Opuscula Mathematica
In 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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The Convergence and MS Stability of Exponential Euler Method for Semilinear Stochastic Differential Equations

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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