On moment exponential stability of Markovian switching integral delay systems

Qianqian Zhang; Zhao Yan Li

doi:10.1016/j.jfranklin.2021.07.039

On moment exponential stability of Markovian switching integral delay systems

Qianqian Zhang
, Zhao Yan Li^*

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

This paper studies the moment exponential stability analysis of a class of Markovian switching integral delay systems (MSIDSs). The existence, uniqueness and stability of the solution are discussed firstly. Secondly, by selecting appropriate Lyapunov-Krasovskii (L-K) functionals, delay-dependent sufficient conditions are given such that the general form of MSIDSs and the special form of MSIDSs having multiple delays are mean square exponentially stable respectively. The results are then generalized to robust stability of MSIDSs having multiple delays with uncertain parameters. Finally, numerical examples are given to illustrate the effectiveness of the proposed theoretical results.

Original language	English
Pages (from-to)	8534-8555
Number of pages	22
Journal	Journal of the Franklin Institute
Volume	358
Issue number	16
DOIs	https://doi.org/10.1016/j.jfranklin.2021.07.039
State	Published - Oct 2021
Externally published	Yes

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10.1016/j.jfranklin.2021.07.039

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title = "On moment exponential stability of Markovian switching integral delay systems",

abstract = "This paper studies the moment exponential stability analysis of a class of Markovian switching integral delay systems (MSIDSs). The existence, uniqueness and stability of the solution are discussed firstly. Secondly, by selecting appropriate Lyapunov-Krasovskii (L-K) functionals, delay-dependent sufficient conditions are given such that the general form of MSIDSs and the special form of MSIDSs having multiple delays are mean square exponentially stable respectively. The results are then generalized to robust stability of MSIDSs having multiple delays with uncertain parameters. Finally, numerical examples are given to illustrate the effectiveness of the proposed theoretical results.",

author = "Qianqian Zhang and Li, \{Zhao Yan\}",

note = "Publisher Copyright: {\textcopyright} 2021 The Franklin Institute",

year = "2021",

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doi = "10.1016/j.jfranklin.2021.07.039",

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AU - Zhang, Qianqian

AU - Li, Zhao Yan

PY - 2021/10

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AB - This paper studies the moment exponential stability analysis of a class of Markovian switching integral delay systems (MSIDSs). The existence, uniqueness and stability of the solution are discussed firstly. Secondly, by selecting appropriate Lyapunov-Krasovskii (L-K) functionals, delay-dependent sufficient conditions are given such that the general form of MSIDSs and the special form of MSIDSs having multiple delays are mean square exponentially stable respectively. The results are then generalized to robust stability of MSIDSs having multiple delays with uncertain parameters. Finally, numerical examples are given to illustrate the effectiveness of the proposed theoretical results.

UR - https://www.scopus.com/pages/publications/85115244710

U2 - 10.1016/j.jfranklin.2021.07.039

DO - 10.1016/j.jfranklin.2021.07.039

M3 - 文章

AN - SCOPUS:85115244710

SN - 0016-0032

VL - 358

SP - 8534

EP - 8555

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 16

ER -

On moment exponential stability of Markovian switching integral delay systems

Abstract

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