Results 11 to 20 of about 129,274 (249)

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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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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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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Linear stability of exponential density profiles [PDF]

Journal of Plasma Physics, 1971
The problem of the linear stability of a plasma with density profilesin a homogeneous magnetic field B = îzB0 has been solved exactly. The dispersion relation leads to stability criteria less severe than those obtained in the local approximation. As examples, we consider Bernstein waves and the low-frequency drift instability. In the second example the
Croci, R., Saison, R.
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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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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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Exponential filter stability via Dobrushin’s coefficient

Electronic Communications in Probability, 2020
Filter stability is a classical problem in the study of partially observed Markov processes (POMP), also known as hidden Markov models (HMM). For a POMP, an incorrectly initialized non-linear filter is said to be (asymptotically) stable if the filter eventually corrects itself as more measurements are collected.
McDonald, Curtis, Yüksel, Serdar
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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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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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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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