Exponential stability for periodic evolution families of bounded linear operators.
Buşe, C. (2001)
Rendiconti del Seminario Matematico
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Displaying similar documents to “Exponential stability of stochastic discrete-time, periodic systems in Hilbert spaces.”
Exponential stability for periodic evolution families of bounded linear operators.
On uniform exponential stability of periodic evolution operators in Banach spaces.
Megan, M., Sasu, L., Sasu, B. (2000)
Acta Mathematica Universitatis Comenianae. New Series
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Aronszajn-Smith conditions for open sets. (Conditions d'Aronszajn-Smith pour les ouverts de classe .)
Moukaddem, N. (2001)
Rendiconti del Seminario Matematico
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Boundedness and exponential stability for periodic time dependent systems.
Buse, C., Zada, A. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Bounded solutions of affine stochastic differential equations and stability
Aristide Halanay, T. Morozan, C. Tudor (1986)
Časopis pro pěstování matematiky
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Integral inequality and exponential stability for neutral stochastic partial differential equations with delays.
Chen, Huabin (2009)
Journal of Inequalities and Applications [electronic only]
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The uniform exponential stability of certain linear processes in a Hilbert phase space
Richard Datko (1985)
Banach Center Publications
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A characterization of exponential stability for periodic evolution families in terms of lower semicontinuous functionals.
Buşe, Constantin (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Global exponential stability of positive periodic solutions for an epidemic model with saturated treatment
Bingwen Liu (2016)
Annales Polonici Mathematici
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This paper is concerned with an SIR model with periodic incidence rate and saturated treatment function. Under proper conditions, we employ a novel argument to establish a criterion on the global exponential stability of positive periodic solutions for this model. The result obtained improves and supplements existing ones. We also use numerical simulations to illustrate our theoretical results.
Uniform exponential stability for linear discrete time systems with stochastic perturbations in Hilbert spaces
Viorica Mariela Ungureanu (2004)
Bollettino dell'Unione Matematica Italiana
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In this paper we study the exponential and uniform exponential stability problem for linear discrete time-varying systems with independent stochastic perturbations. We give two representations of the solutions of the discussed systems and we use them to obtain necessary and sufficient conditions for the two types of stability. A deterministic characterization of the uniform exponential stability, in terms of Lyapunov equations are given.