New results in global stabilization for stochastic nonlinear systems

Tao Bian; Zhong Ping Jiang

doi:10.1007/s11768-016-5117-7

New results in global stabilization for stochastic nonlinear systems

Tao Bian, Zhong Ping Jiang

Electrical and Computer Engineering

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

Abstract

This paper presents new results on the robust global stabilization and the gain assignment problems for stochastic nonlinear systems. Three stochastic nonlinear control design schemes are developed. Furthermore, a new stochastic gain assignment method is developed for a class of uncertain interconnected stochastic nonlinear systems. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. Two numerical examples are given to illustrate the effectiveness of the proposed methodology.

Original language	English (US)
Pages (from-to)	57-67
Number of pages	11
Journal	Control Theory and Technology
Volume	14
Issue number	1
DOIs	https://doi.org/10.1007/s11768-016-5117-7
State	Published - Feb 1 2016

Keywords

Stochastic nonlinear systems
gain assignment
small-gain
stabilization
stochastic input-to-output stability

ASJC Scopus subject areas

Control and Systems Engineering
Aerospace Engineering
Control and Optimization

Access to Document

10.1007/s11768-016-5117-7

Cite this

@article{b6ded271969c400188e3991ef5b3dc01,

title = "New results in global stabilization for stochastic nonlinear systems",

abstract = "This paper presents new results on the robust global stabilization and the gain assignment problems for stochastic nonlinear systems. Three stochastic nonlinear control design schemes are developed. Furthermore, a new stochastic gain assignment method is developed for a class of uncertain interconnected stochastic nonlinear systems. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. Two numerical examples are given to illustrate the effectiveness of the proposed methodology.",

keywords = "Stochastic nonlinear systems, gain assignment, small-gain, stabilization, stochastic input-to-output stability",

author = "Tao Bian and Jiang, {Zhong Ping}",

note = "Funding Information: This work was partially supported by the National Science Foundation (Nos. ECCS-1230040, ECCS-1501044). Publisher Copyright: {\textcopyright} 2016, South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.",

year = "2016",

month = feb,

day = "1",

doi = "10.1007/s11768-016-5117-7",

language = "English (US)",

volume = "14",

pages = "57--67",

journal = "Control Theory and Technology",

issn = "2095-6983",

publisher = "Springer Science + Business Media",

number = "1",

}

TY - JOUR

T1 - New results in global stabilization for stochastic nonlinear systems

AU - Bian, Tao

AU - Jiang, Zhong Ping

N1 - Funding Information: This work was partially supported by the National Science Foundation (Nos. ECCS-1230040, ECCS-1501044). Publisher Copyright: © 2016, South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.

PY - 2016/2/1

Y1 - 2016/2/1

N2 - This paper presents new results on the robust global stabilization and the gain assignment problems for stochastic nonlinear systems. Three stochastic nonlinear control design schemes are developed. Furthermore, a new stochastic gain assignment method is developed for a class of uncertain interconnected stochastic nonlinear systems. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. Two numerical examples are given to illustrate the effectiveness of the proposed methodology.

AB - This paper presents new results on the robust global stabilization and the gain assignment problems for stochastic nonlinear systems. Three stochastic nonlinear control design schemes are developed. Furthermore, a new stochastic gain assignment method is developed for a class of uncertain interconnected stochastic nonlinear systems. This method can be combined with the nonlinear small-gain theorem to design partial-state feedback controllers for stochastic nonlinear systems. Two numerical examples are given to illustrate the effectiveness of the proposed methodology.

KW - Stochastic nonlinear systems

KW - gain assignment

KW - small-gain

KW - stabilization

KW - stochastic input-to-output stability

UR - http://www.scopus.com/inward/record.url?scp=84959173577&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84959173577&partnerID=8YFLogxK

U2 - 10.1007/s11768-016-5117-7

DO - 10.1007/s11768-016-5117-7

M3 - Article

AN - SCOPUS:84959173577

SN - 2095-6983

VL - 14

SP - 57

EP - 67

JO - Control Theory and Technology

JF - Control Theory and Technology

IS - 1

ER -

New results in global stabilization for stochastic nonlinear systems

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this