Results 151 to 160 of about 114,687,083 (175)

The mean-square exponential stability and instability of stochastic nonholonomic systems

Chinese Physics, 2001
We present a new methodology for studying the mean-square exponential stability and instability of nonlinear nonholonomic systems under disturbance of Gaussian white-noise by the first approximation. Firstly, we give the linearized equations of nonlinear nonholonomic stochastic systems; then we construct a proper stochastic Lyapunov function to ...
Shang Mei, Guo Yong-xin
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Exponential stability in mean square for stochastic differential equations

Stochastic Analysis and Applications, 1990
In this paper we will consider the exponential stability in mean square for the following delay stochastic differential equation which might be regarded as a stochastic perturbed system of the equation The purpose of this paper is to prove that if Eq.(2) is exponentially stable, then Eq.(l) is also exponentially stable in mean square provided τ is ...
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New mean square exponential stability condition of stochastic fuzzy neural networks

Neurocomputing, 2015
This paper investigates the stability problem for interval type-2 (IT2) stochastic fuzzy neural networks. Firstly, an IT2 stochastic fuzzy neural network is constructed. Secondly, by using stochastic analysis approach and Ito?s differential formula, a new sufficient condition ensuring mean square exponential stability is obtained.
Xing Xing, Yingnan Pan, Qing Lu 0002, Hongxia Cui   +3 more
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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, Xuerong Mao, Chenggui Yuan   +2 more
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Exponential mean square stability of stochastically forced 2-torus

Nonlinearity, 2004
Variety in the behaviour of nonlinear dynamic systems under transition from order to chaos is connected frequently with a chain of bifurcations: a stationary regime (equilibrium point) -- periodic regime (limit cycle) -- quasiperiodic regime (torus) -- chaotic regime (strange attractor). Each such transition is accompanied by the loss of stability of a
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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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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 of stochastic inertial neural networks

International Journal of Control, 2022
Wei Chen
exaly