New type of Lyapunov-Krasovskii functional method on stability of uncertain stochastic systems with time delay

Xin Feng; Renren Wang; Hongqian Lu; Shuai Yi

doi:10.1109/CCDC58219.2023.10326936

New type of Lyapunov-Krasovskii functional method on stability of uncertain stochastic systems with time delay

Xin Feng
, Renren Wang
, Hongqian Lu^*
, Shuai Yi

^*Corresponding author for this work

Qilu University of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper presents a new kind of Lyapunov-Krasovskii functional method for investigating the asymptotic stability of uncertain stochastic systems with time delay. Two resulting delay-dependent asymptotic stability conditions in the form of linear matrix inequalities are given. The feasibility of the new methods has been proved by theory and simulation.

Original language	English
Title of host publication	Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3668-3673
Number of pages	6
ISBN (Electronic)	9798350334722
DOIs	https://doi.org/10.1109/CCDC58219.2023.10326936
State	Published - 2023
Externally published	Yes
Event	35th Chinese Control and Decision Conference, CCDC 2023 - Yichang, China Duration: 20 May 2023 → 22 May 2023

Publication series

Name	Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

Conference

Conference	35th Chinese Control and Decision Conference, CCDC 2023
Country/Territory	China
City	Yichang
Period	20/05/23 → 22/05/23

Keywords

asymmetric Lyapunov-Krasovskii functional
stability
stochastic systems
time-delay systems
uncertain systems

Access to Document

10.1109/CCDC58219.2023.10326936

Cite this

Feng, X., Wang, R., Lu, H., & Yi, S. (2023). New type of Lyapunov-Krasovskii functional method on stability of uncertain stochastic systems with time delay. In Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023 (pp. 3668-3673). (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCDC58219.2023.10326936

Feng, Xin ; Wang, Renren ; Lu, Hongqian et al. / New type of Lyapunov-Krasovskii functional method on stability of uncertain stochastic systems with time delay. Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Institute of Electrical and Electronics Engineers Inc., 2023. pp. 3668-3673 (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023).

@inproceedings{71194339a12c40758f7c778eb80dea1f,

title = "New type of Lyapunov-Krasovskii functional method on stability of uncertain stochastic systems with time delay",

abstract = "This paper presents a new kind of Lyapunov-Krasovskii functional method for investigating the asymptotic stability of uncertain stochastic systems with time delay. Two resulting delay-dependent asymptotic stability conditions in the form of linear matrix inequalities are given. The feasibility of the new methods has been proved by theory and simulation.",

keywords = "asymmetric Lyapunov-Krasovskii functional, stability, stochastic systems, time-delay systems, uncertain systems",

author = "Xin Feng and Renren Wang and Hongqian Lu and Shuai Yi",

note = "Publisher Copyright: {\textcopyright} 2023 IEEE.; 35th Chinese Control and Decision Conference, CCDC 2023 ; Conference date: 20-05-2023 Through 22-05-2023",

year = "2023",

doi = "10.1109/CCDC58219.2023.10326936",

language = "英语",

series = "Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "3668--3673",

booktitle = "Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023",

address = "美国",

}

Feng, X, Wang, R, Lu, H & Yi, S 2023, New type of Lyapunov-Krasovskii functional method on stability of uncertain stochastic systems with time delay. in Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023, Institute of Electrical and Electronics Engineers Inc., pp. 3668-3673, 35th Chinese Control and Decision Conference, CCDC 2023, Yichang, China, 20/05/23. https://doi.org/10.1109/CCDC58219.2023.10326936

New type of Lyapunov-Krasovskii functional method on stability of uncertain stochastic systems with time delay. / Feng, Xin; Wang, Renren; Lu, Hongqian et al.
Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Institute of Electrical and Electronics Engineers Inc., 2023. p. 3668-3673 (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - New type of Lyapunov-Krasovskii functional method on stability of uncertain stochastic systems with time delay

AU - Feng, Xin

AU - Wang, Renren

AU - Lu, Hongqian

AU - Yi, Shuai

PY - 2023

Y1 - 2023

N2 - This paper presents a new kind of Lyapunov-Krasovskii functional method for investigating the asymptotic stability of uncertain stochastic systems with time delay. Two resulting delay-dependent asymptotic stability conditions in the form of linear matrix inequalities are given. The feasibility of the new methods has been proved by theory and simulation.

AB - This paper presents a new kind of Lyapunov-Krasovskii functional method for investigating the asymptotic stability of uncertain stochastic systems with time delay. Two resulting delay-dependent asymptotic stability conditions in the form of linear matrix inequalities are given. The feasibility of the new methods has been proved by theory and simulation.

KW - asymmetric Lyapunov-Krasovskii functional

KW - stability

KW - stochastic systems

KW - time-delay systems

KW - uncertain systems

UR - https://www.scopus.com/pages/publications/85181821272

U2 - 10.1109/CCDC58219.2023.10326936

DO - 10.1109/CCDC58219.2023.10326936

M3 - 会议稿件

AN - SCOPUS:85181821272

T3 - Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

SP - 3668

EP - 3673

BT - Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 35th Chinese Control and Decision Conference, CCDC 2023

Y2 - 20 May 2023 through 22 May 2023

ER -

Feng X, Wang R, Lu H, Yi S. New type of Lyapunov-Krasovskii functional method on stability of uncertain stochastic systems with time delay. In Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023. Institute of Electrical and Electronics Engineers Inc. 2023. p. 3668-3673. (Proceedings of the 35th Chinese Control and Decision Conference, CCDC 2023). doi: 10.1109/CCDC58219.2023.10326936

New type of Lyapunov-Krasovskii functional method on stability of uncertain stochastic systems with time delay

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