Stability with respect to partial variables for Birkhoff systems

Feng Xiang Mei; Hui Bin Wu; Mei Shang; Yong Fa Zhang

doi:10.1088/1009-1963/15/9/005

Stability with respect to partial variables for Birkhoff systems

Feng Xiang Mei^*
, Hui Bin Wu
, Mei Shang
, Yong Fa Zhang

^*Corresponding author for this work

Beijing Institute of Technology

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

11 Citations (Scopus)

Abstract

In this paper, the stability with respect to partial variables for the Birkhoff system is studied. By transplanting the results of the partial stability for general systems to the Birkhoff system and constructing a suitable Liapunov function, the partial stability of the system can be achieved. Finally, two examples are given to illustrate the application of the results.

Original language	English
Article number	005
Pages (from-to)	1932-1934
Number of pages	3
Journal	Chinese Physics
Volume	15
Issue number	9
DOIs	https://doi.org/10.1088/1009-1963/15/9/005
Publication status	Published - 1 Sept 2006

Keywords

Birkhoff system
Liapunov function
Partial stability

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10.1088/1009-1963/15/9/005

Cite this

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title = "Stability with respect to partial variables for Birkhoff systems",

abstract = "In this paper, the stability with respect to partial variables for the Birkhoff system is studied. By transplanting the results of the partial stability for general systems to the Birkhoff system and constructing a suitable Liapunov function, the partial stability of the system can be achieved. Finally, two examples are given to illustrate the application of the results.",

keywords = "Birkhoff system, Liapunov function, Partial stability",

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AU - Mei, Feng Xiang

AU - Wu, Hui Bin

AU - Shang, Mei

AU - Zhang, Yong Fa

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Y1 - 2006/9/1

N2 - In this paper, the stability with respect to partial variables for the Birkhoff system is studied. By transplanting the results of the partial stability for general systems to the Birkhoff system and constructing a suitable Liapunov function, the partial stability of the system can be achieved. Finally, two examples are given to illustrate the application of the results.

AB - In this paper, the stability with respect to partial variables for the Birkhoff system is studied. By transplanting the results of the partial stability for general systems to the Birkhoff system and constructing a suitable Liapunov function, the partial stability of the system can be achieved. Finally, two examples are given to illustrate the application of the results.

KW - Birkhoff system

KW - Liapunov function

KW - Partial stability

UR - https://www.scopus.com/pages/publications/33747800075

U2 - 10.1088/1009-1963/15/9/005

DO - 10.1088/1009-1963/15/9/005

M3 - Article

AN - SCOPUS:33747800075

SN - 1009-1963

VL - 15

SP - 1932

EP - 1934

JO - Chinese Physics

JF - Chinese Physics

IS - 9

M1 - 005

ER -

Stability with respect to partial variables for Birkhoff systems

Abstract

Keywords

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