Results 41 to 50 of about 148,648 (315)

The stability of the exponential equation [PDF]

open access: yesProceedings of the American Mathematical Society, 1996
We generalize the well-known Baker’s superstability result for exponential mappings with values in the field of complex numbers to the case of an arbitrary commutative complex semisimple Banach algebra. It was shown by Ger that the superstability phenomenon disappears if we formulate the stability question for exponential complex ...
Ger, Roman, Semrl, Peter
openaire   +2 more sources

Almost sure exponential stability of numerical solutions for stochastic delay differential equations

open access: yes, 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 (
Szpruch, Lukasz, Wu, Fuke, Mao, Xuerong
core   +1 more source

On Exponential Stability of Composite Stochastic Control Systems

open access: yesAbstract and Applied Analysis, 2013
New results for exponential stability in probability of a composite stochastic control system are established. The main results of this paper enable us to derive sufficient conditions for exponential stability in -th mean and almost sure exponential ...
Fakhreddin Abedi, Wah June Leong
doaj   +1 more source

Internally Positive Representation to Stability of Delayed Timescale-Type Differential- Difference Equation

open access: yesIEEE Access, 2021
This paper considers exponential stability for a class of timescale-type differential-difference equation with bounded time-varying delay. Based on time scale theory, internally positive representation technique, as well as the existing exponential ...
Qiang Xiao, Yin Yang, Tingwen Huang
doaj   +1 more source

Almost sure exponential stability of the Euler–Maruyama approximations for stochastic functional differential equations

open access: yes, 2011
By the continuous and discrete nonnegative semimartingale convergence theorems, this paper investigates conditions under which the Euler–Maruyama (EM) approximations of stochastic functional differential equations (SFDEs) can share the almost sure ...
Wu, Fuke   +5 more
core   +1 more source

Noise expresses exponential growth under regime switching [PDF]

open access: yes, 2009
Consider a given system under regime switching whose solution grows at most polynomially, and suppose that the system is subject to environmental noise in some regimes. Can the regime switching and the environmental noise work together to make the system
University of Science and Technology, Beijing (Funder)   +9 more
core   +1 more source

Nonuniform exponential stability for evolution families on the real line

open access: yesAnalele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
The purpose of the present paper is to investigate the problem of nonuniform exponential stability of evolution families on the real line using the input-output technique known in the literature as the Perron method for the study of exponential stability.
Morariu Claudia Isabela, Preda Petre
doaj   +1 more source

Exponential filtering for uncertain Markovian jump time-delay systems with nonlinear disturbances [PDF]

open access: yes, 2004
Copyright [2004] IEEE. This material is posted here with permission of the IEEE. Such permission of the IEEE does not in any way imply IEEE endorsement of any of Brunel University's products or services.
Liu, X, Wang, Z, Lam, J
core   +1 more source

Asymptotical stability analysis of conformable fractional systems

open access: yesJournal of Taibah University for Science, 2020
In this paper, we analyses the asymptotical stability of the system in the form ${T_\alpha }y(\tau ){ = A}y(\tau ) + f(\tau ,y(\tau )) $ with the initial value $y({\tau _0}) = {y_0} $.
Yongfang Qi, Xuhuan Wang
doaj   +1 more source

Discrete-time recurrent neural networks with time-varying delays: Exponential stability analysis

open access: yes, 2007
This is the post print version of the article. The official published version can be obtained from the link below - Copyright 2007 Elsevier LtdThis Letter is concerned with the analysis problem of exponential stability for a class of discrete-time ...
Liu, Y, Liu, X, Wang, Z, Serrano, A
core   +1 more source

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