Boundary control of stochastic Korteweg-de Vries-Burgers equations

Shuang Liang; Kai Ning Wu

doi:10.1007/s11071-022-07398-3

Boundary control of stochastic Korteweg-de Vries-Burgers equations

Shuang Liang
, Kai Ning Wu^*

^*Corresponding author for this work

Harbin Institute of Technology Weihai

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

7 Scopus citations

Abstract

The boundary control problem is considered for stochastic Korteweg-de Vries-Burgers equations. First, a boundary controller is proposed, and a criterion is obtained for mean square exponential stability by using the Lyapunov functional method and inequality techniques. Then, when there exist uncertainties in the system parameters, the robust mean square exponential stability is considered, and a sufficient criterion is obtained. Furthermore, if there are also additive noises in the considered system, the H-infinity performance is investigated and a sufficient condition is obtained to ensure the mean square H-infinity performance. Numerical examples illustrate the validity of the theoretical results.

Original language	English
Pages (from-to)	4093-4102
Number of pages	10
Journal	Nonlinear Dynamics
Volume	108
Issue number	4
DOIs	https://doi.org/10.1007/s11071-022-07398-3
State	Published - Jun 2022
Externally published	Yes

Keywords

Boundary control
H-infinity control
Robust stabilization
Stochastic Korteweg-de Vries-Burgers equations

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10.1007/s11071-022-07398-3

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title = "Boundary control of stochastic Korteweg-de Vries-Burgers equations",

abstract = "The boundary control problem is considered for stochastic Korteweg-de Vries-Burgers equations. First, a boundary controller is proposed, and a criterion is obtained for mean square exponential stability by using the Lyapunov functional method and inequality techniques. Then, when there exist uncertainties in the system parameters, the robust mean square exponential stability is considered, and a sufficient criterion is obtained. Furthermore, if there are also additive noises in the considered system, the H-infinity performance is investigated and a sufficient condition is obtained to ensure the mean square H-infinity performance. Numerical examples illustrate the validity of the theoretical results.",

keywords = "Boundary control, H-infinity control, Robust stabilization, Stochastic Korteweg-de Vries-Burgers equations",

author = "Shuang Liang and Wu, \{Kai Ning\}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature B.V.",

year = "2022",

month = jun,

doi = "10.1007/s11071-022-07398-3",

language = "英语",

volume = "108",

pages = "4093--4102",

journal = "Nonlinear Dynamics",

issn = "0924-090X",

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TY - JOUR

T1 - Boundary control of stochastic Korteweg-de Vries-Burgers equations

AU - Liang, Shuang

AU - Wu, Kai Ning

PY - 2022/6

Y1 - 2022/6

N2 - The boundary control problem is considered for stochastic Korteweg-de Vries-Burgers equations. First, a boundary controller is proposed, and a criterion is obtained for mean square exponential stability by using the Lyapunov functional method and inequality techniques. Then, when there exist uncertainties in the system parameters, the robust mean square exponential stability is considered, and a sufficient criterion is obtained. Furthermore, if there are also additive noises in the considered system, the H-infinity performance is investigated and a sufficient condition is obtained to ensure the mean square H-infinity performance. Numerical examples illustrate the validity of the theoretical results.

AB - The boundary control problem is considered for stochastic Korteweg-de Vries-Burgers equations. First, a boundary controller is proposed, and a criterion is obtained for mean square exponential stability by using the Lyapunov functional method and inequality techniques. Then, when there exist uncertainties in the system parameters, the robust mean square exponential stability is considered, and a sufficient criterion is obtained. Furthermore, if there are also additive noises in the considered system, the H-infinity performance is investigated and a sufficient condition is obtained to ensure the mean square H-infinity performance. Numerical examples illustrate the validity of the theoretical results.

KW - Boundary control

KW - H-infinity control

KW - Robust stabilization

KW - Stochastic Korteweg-de Vries-Burgers equations

UR - https://www.scopus.com/pages/publications/85127408693

U2 - 10.1007/s11071-022-07398-3

DO - 10.1007/s11071-022-07398-3

M3 - 文章

AN - SCOPUS:85127408693

SN - 0924-090X

VL - 108

SP - 4093

EP - 4102

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

Boundary control of stochastic Korteweg-de Vries-Burgers equations

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Keywords

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