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Mean-Square and Asymptotic Stability of the Stochastic Theta Method
SIAM Journal on Numerical Analysis, 2000The paper studies a linear test equation with multiplicative noise and considers mean-square and asymptotic numerical stability. An extension of the deterministic A-stability is shown to hold. Mean-square stability regions are visualized.
Desmond J Higham
exaly +4 more sources
Mean square exponential stability of impulsive stochastic difference equations
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhiguo Yang, Daoyi Xu
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A Mean-Square Stability Analysis of the Least Mean Fourth Adaptive Algorithm
IEEE Transactions on Signal Processing, 2007This 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
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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
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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
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Chaos, Solitons & Fractals, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Zhiyong +4 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ye, Zhiyong +4 more
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Exponential Stability in Mean Square
2013In 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
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Mean square stability for Markov jump Boolean networks
Science China Information Sciences, 2019In 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
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Mean square exponential stability
2009The 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
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Mean square stability of linear systems with Poisson jumps
2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017This paper deals with the class of linear systems subject to Poisson jumps, where the dwell-time between jumps is described by an exponential distribution with mode-dependent parameter. No probabilistic information on the sequence of modes is assumed available.
Bolzern, P, Colaneri, P
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Mean-square exponential stability of stochastic inertial neural networks
International Journal of Control, 2020By introducing some parameters perturbed by white noises, we propose a class of stochastic inertial neural networks in random environments.
Wentao Wang, Wei Chen
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