Displaying similar documents to “Mean almost periodicity and moment exponential stability of discrete-time stochastic shunting inhibitory cellular neural networks with time delays”

Stabilization of partially linear composite stochastic systems via stochastic Luenberger observers

Patrick Florchinger (2022)

Kybernetika

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The present paper addresses the problem of the stabilization (in the sense of exponential stability in mean square) of partially linear composite stochastic systems by means of a stochastic observer. We propose sufficient conditions for the existence of a linear feedback law depending on an estimation given by a stochastic Luenberger observer which stabilizes the system at its equilibrium state. The novelty in our approach is that all the state variables but the output can be corrupted...

On nonuniform dichotomy for stochastic skew-evolution semiflows in Hilbert spaces

Diana Stoica, Mihail Megan (2012)

Czechoslovak Mathematical Journal

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In this paper we study a general concept of nonuniform exponential dichotomy in mean square for stochastic skew-evolution semiflows in Hilbert spaces. We obtain a variant for the stochastic case of some well-known results, of the deterministic case, due to R. Datko: Uniform asymptotic stability of evolutionary processes in a Banach space, SIAM J. Math. Anal., 3(1972), 428–445. Our approach is based on the extension of some techniques used in the deterministic case for the study of asymptotic...

Almost Higher Order Stochastic Dominance

Cuizhen Niu, Xu Guo (2014)

RAIRO - Operations Research - Recherche Opérationnelle

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In this paper, we develop the concept of almost stochastic dominance for higher order preferences and investigate the related properties of this concept.

An averaging principle for stochastic evolution equations. II.

Bohdan Maslowski, Jan Seidler, Ivo Vrkoč (1991)

Mathematica Bohemica

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In the present paper integral continuity theorems for solutions of stochastic evolution equations of parabolic type on unbounded time intervals are established. For this purpose, the asymptotic stability of stochastic partial differential equations is investigated, the results obtained being of independent interest. Stochastic evolution equations are treated as equations in Hilbert spaces within the framework of the semigroup approach.