Results 271 to 280 of about 26,223 (291)
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New results on exponential stability in mean square of neutral stochastic equations with delays

International Journal of Control, 2021
This work addresses the exponential stability in mean square of general neutral stochastic differential equations with delays.
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EXPONENTIAL MEAN SQUARE STABILITY OF STOCHASTICALLY FORCED INVARIANT MANIFOLDS FOR NONLINEAR SDEs

Stochastics and Dynamics, 2007
An exponential mean square stability for the invariant manifold [Formula: see text] of a nonlinear stochastic system is considered. The stability analysis is based on the [Formula: see text]-quadratic Lyapunov function technique. The local dynamics of the nonlinear system near manifold is described by the stochastic linear extension system. We propose
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Preserving exponential mean-square stability in the simulation of hybrid stochastic differential equations

Numerische Mathematik, 2007
Some positive results are derived concerning the long time dynamics of fixed step size numerical simulations of stochastic differential equation systems with Markovian switching. It is shown that, under appropriate conditions, Euler-Maruyama and implicit theta-method discretisations can capture exponential mean-square stability for all sufficiently ...
Desmond J. Higham   +2 more
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New criteria for mean square exponential stability of stochastic delay differential equations

International Journal of Control, 2020
By a novel approach, we present several new criteria for the mean square exponential stability of general non-linear stochastic delay differential equations.
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Mean Square Exponential Stability of Hybrid Neural Networks with Uncertain Switching Probabilities

2012
This paper is concerned with the global exponential stability problem for a class of Markovian jumping recurrent neural networks (MJRNNs) with uncertain switching probabilities. The Markovian jumping recurrent neural networks under consideration involve parameter uncertainties in the mode transition rate matrix.
Xuyang Lou, Qian Ye, Ke Lou, Baotong Cui
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Mean Square Exponential Stability Analysis for Itô Stochastic Systems With Aperiodic Sampling and Multiple Time-Delays

IEEE Transactions on Automatic Control, 2022
Guoliang Chen   +2 more
exaly  

Lyapunov Characterizations of Exponential Mean Square Input-to-State Stability for Discrete-Time Markovian Switching Nonlinear Systems

IEEE Transactions on Automatic Control, 2023
Anastasia Impicciatore   +2 more
exaly  

Mean-square exponential stability of stochastic Volterra systems in infinite dimensions

Science China Information Sciences
Lin Fu   +3 more
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Discussion on: Mean Square Exponential Stability for Stochastic Linear Discrete Time Systems

European Journal of Control, 2006
Howard Jay Chizeck   +2 more
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