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Mean-Square Stabilization Over Gaussian Finite-State Markov Channels

IEEE Transactions on Control of Network Systems, 2018
This paper studies the mean-square stabilization problem of discrete-time linear time-invariant systems over Gaussian finite-state Markov channels, which suffer from both signal-to-noise ratio constraint and correlated channel fading modeled by a Markov process.
Liang Xu, Lihua Xie, Nan Xiao
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On the Mean Square Stability of Random Linear Systems

IRE Transactions on Circuit Theory, 1959
The theory of random linear systems is extended to systems containing one or more non-independent parameters under the assumption that the parameter processes and the solution process have very widely separated spectra. It is shown that the second product moment of the solution satisfies a linear integral equation which can be solved in closed form in ...
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Mean-square stability of stochastic differential time-lag systems

International Journal of Systems Science, 1989
Two sets of sufficient conditions for the mean-square asymptotic stability of the equilibrium state of linear differential time-lag systems with non-stationary random coefficients are derived. Each of the sets of sufficient conditions is then shown to be equivalent to a corresponding unconstrained optimization problem.
Lim, C.C., Teo, K.L.
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Mean-square asymptotic stability of linear hereditary systems

International Journal of Systems Science, 1988
A sufficient condition is given for the mean-square asymptotic stability of the trivial solution of time-homogeneous stochastic linear functional differential equations. We use the stochastic Lyapunov function method and the resulting condition is, in some sense, an extension of the condition for linear ordinary differential equations.
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Mean square stability of impulsive stochastic reaction diffusion systems

International Conference on Information Science and Technology, 2011
In this paper, based on Lyapunov function method and stochastic analysis theory, the stability of a class of impulsive stochastic reaction diffusion differential equations is investigated and some new criteria are obtained ensuring the mean square stability of trivial solution.
null Qi Luo, null Yutian Zhang
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Exponential Stability in Mean Square and Stochastic Variational Equations

AIP Conference Proceedings, 2011
The aim of the paper is to obtain new characterizations for exponential stability in mean square of stochastic variational systems in Hilbert spaces. Thus we will introduce a general concept of admissibility in variational stochastic case. An example of such a stochastic variational system is considered the parabolic equations who are perturbed by ...
Adina Păucă   +6 more
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Robust mean square stability

2022 European Control Conference (ECC), 2022
Yuanji Zou, Nicola Elia
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Mean square stability of stochastic Volterra integro-differential equations

Systems & Control Letters, 2006
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mao, Xuerong, Riedle, Markus
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Mean-Square and Asymptotic Stability of the Stochastic Theta Method

SIAM Journal on Numerical Analysis, 2000
The 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.
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Mean square stability of linear systems with Poisson jumps

2017 IEEE 56th Annual Conference on Decision and Control (CDC), 2017
This 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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