Stabilization via delay feedback for highly nonlinear stochastic time-varying delay systems with Markovian switching and Poisson jump

Li Guangjie and Hu Zhipei and Deng Feiqi and Zhang Huiyan: Stabilization via delay feedback for highly nonlinear stochastic time-varying delay systems with Markovian switching and Poisson jump. (2022)

[thumbnail of ejqtde_2022_049.pdf]
Preview
Teljes mű
ejqtde_2022_049.pdf

Download (391kB) | Preview

Abstract

Little work seems to be known about stabilization results of highly nonlinear stochastic time-varying delay systems (STVDSs) with Markovian switching and Poisson jump. This paper is concerned with the stabilization problem for a class of STVDSs with Markovian switching and Poisson jump. The coefficients of such systems do not satisfy the conventional linear growth conditions, but are subject to high nonlinearity. The aim of this paper is to design a delay feedback controller to make an unstable highly nonlinear STVDSs with Markovian switching and Poisson jump H∞-stable and asymptotically stable. Besides, an illustrative example is provided to support the theoretical results.

Item Type: Journal
Publication full: Electronic journal of qualitative theory of differential equations
Date: 2022
Number: 49
ISSN: 1417-3875
Language: English
DOI: 10.14232/ejqtde.2022.1.49
Uncontrolled Keywords: Differenciálegyenlet
Additional Information: Bibliogr.: p. 17-20. ; összefoglalás angol nyelven
Subjects: 01. Natural sciences
01. Natural sciences > 01.01. Mathematics
Date Deposited: 2023. Mar. 13. 10:38
Last Modified: 2023. Mar. 13. 10:38
URI: http://acta.bibl.u-szeged.hu/id/eprint/78334

Actions (login required)

View Item View Item