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A Mean-Square Stability Analysis of the Least Mean Fourth Adaptive Algorithm

IEEE Transactions on Signal Processing, 2007
This paper presents a new convergence analysis of the least mean fourth (LMF) adaptive algorithm, in the mean square sense. The analysis improves previous results, in that it is valid for non-Gaussian noise distributions and explicitly shows the dependence of algorithm stability on the initial conditions of the weights.
Pedro Inácio Hübscher   +2 more
openaire   +1 more source

Mean square stabilization and mean square exponential stabilization of stochastic BAM neural networks with Markovian jumping parameters

Chaos, Solitons & Fractals, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Zhiyong   +4 more
openaire   +2 more sources

Mean square stability for Markov jump Boolean networks

Science China Information Sciences, 2019
In this paper, one of the stability definitions of Markov jump Boolean networks (MJBNs), called mean square stability (MSS), is investigated.Some necessary and sufficient conditions are presented to guarantee the MSS of such MJBNs. Moreover, one of the necessary and sufficient conditions for MSS is obtained in terms of linear programming, which implies
Liqing Wang, Mei Fang, Zheng-Guang Wu
openaire   +1 more source

Mean-Square Stability

2013
One of the features that distinguish MJLS from linear systems is the fact that stability (instability) for each mode of operation does not guarantee the stability (instability) of the system as a whole. This chapter provides a broad account on mean-square stability (MSS) for continuous-time MJLS.
Oswaldo L.V. Costa   +2 more
openaire   +1 more source

Mean square stabilization of linear systems by mean zero noise

Stochastics and Stochastic Reports, 1999
A necessary and sufficient condition for the mean square stabilization of time-varying linear systems of ordinary differential equations by zero mean real noise is obtained.
Roman V. Bobryk, Lukasz Stettner
openaire   +1 more source

Mean-square Stabilization of Invariant Manifolds for SDEs

IFAC Proceedings Volumes, 2014
Abstract We consider systems of Ito's stochastic differential equations with smooth compact invariant manifolds. The problem addressed is an exponential mean square (EMS) stabilization of these manifolds. The necessary and sufficient conditions of the stabilizability are derived on the base of the spectral criterion of the EMS-stability of invariant ...
Lev Ryashko, Irina Bashkirtseva
openaire   +1 more source

Exponential Stability in Mean Square

2013
In this chapter the problem of mean square exponential stability of the zero solution to the stochastic differential equations of type (1.22) is studied. The stability of a steady-state is one of the main tasks which appears in many design problems of controllers with prescribed performances.
Vasile Dragan   +2 more
openaire   +1 more source

Mean-square exponential stability of stochastic inertial neural networks

International Journal of Control, 2020
By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments.
Wentao Wang, Wei Chen
openaire   +1 more source

Mean square exponential stability

2009
The problem of mean square exponential stability for a class of discrete-time linear stochastic systems subject to independent random perturbations and Markovian switching is investigated. Four different definitions of the concept of exponential stability in the mean square are introduced and it is shown that they are not always equivalent.
Vasile Drăgan   +2 more
openaire   +1 more source

Quantitative mean square exponential stability and stabilization of stochastic systems with Markovian switching

Journal of the Franklin Institute, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiguo Yan, Yunxia Song, Ju H. Park 0001
openaire   +2 more sources

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