V. Drăgan†, S. Aberkane‡,I.-L. Popa§, T. Morozan¶
Abstract: This paper is devoted to the analysis of the mean-square stability of a class of linear time-varying impulsive Itˆo-type stochastic systems. We succeed to obtain necessary and sufficient stability conditions in the general time-varying case. This result is obtained thanks to the
theory of positive operators on Hilbert spaces. The problem of statefeedback stabilization is treated as well.
MSC: 93E15, 93E55, 93D15, 47B65
keywords: impulsive controlled linear stochastic systems; mean square stability, mean square stabilization.
DOI 10.56082/annalsarscimath.2023.1-2.45
†vasile.dragan@imar.ro Institute of Mathematics ”Simion Stoilow” of the Romanian Academy, P.O.Box 1-764, RO-014700, Bucharest, Romania and the Academy of the Romanian Scientists
†samir.aberkane@univ-lorraine.fr Universit´e de Lorraine, CRAN, UMR 7039, Campus Sciences, BP 70239, Vandoeuvre-les-Nancy Cedex, 54506, France, CNRS, CRAN, UMR 7039, France
§lucian.popa@uab.ro Department of Computing, Mathematics and Electronics, 1 Decembrie 1918 University of Alba Iulia, Alba Iulia, 510009, Romania and Faculty of Mathematics and Computer Science, Transilvania University of Bra¸sov, Iuliu Maniu Street 50, 500091, Bra¸sov, Romania
¶toader.morozan@imar.ro Institute of Mathematics ”Simion Stoilow” of the Romanian Academy, P.O.Box 1-764, RO-014700, Bucharest, Romania
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 15 no 1-2, 2023
