DocumentCode
3111046
Title
Partial lagrange stability for time-varying linear systems
Author
Guo, Yunxia
Author_Institution
Zhuhai Radio & TV Univ., Zhuhai, China
fYear
2011
fDate
26-28 March 2011
Firstpage
1085
Lastpage
1089
Abstract
In this paper, we apply Wazewski inequality and Gronwall-Bellman inequality to study Lagrange stability of time varying linear systems with respect to partial and whole variables. We derive sufficient conditions for system partial stability, equi-stability and uniform stability in the Lagrange sense. As corollaries, we obtain easily verifiable stability criteria involving only the coefficients of the right-hand side and its eigenvalues.
Keywords
eigenvalues and eigenfunctions; linear systems; stability; time-varying systems; Gronwall-Bellman inequality; Wazewski inequality; eigenvalues; partial lagrange stability; time-varying linear systems; Eigenvalues and eigenfunctions; Linear systems; Nonhomogeneous media; Nonlinear systems; Stability criteria; Sufficient conditions; Time varying systems;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Science and Technology (ICIST), 2011 International Conference on
Conference_Location
Nanjing
Print_ISBN
978-1-4244-9440-8
Type
conf
DOI
10.1109/ICIST.2011.5765159
Filename
5765159
Link To Document