DocumentCode
697652
Title
A new stability condition for second-order linear systems
Author
Duan, G.R. ; Liu, G.P. ; Thompson, S.
Author_Institution
Sch. of Mech. & Manuf. Eng., Queen´s Univ. Belfast, Belfast, UK
fYear
2001
fDate
4-7 Sept. 2001
Firstpage
3806
Lastpage
3809
Abstract
Based on the Lyapunov Stability Theorem for linear systems, a very simple sufficient stability condition is derived for second-order linear systems in terms of the positive definiteness of the system coefficient matrices. This condition generalizes some known result and may have important applications in robust stability analysis and robust stabilization of uncertain second-order linear systems.
Keywords
Lyapunov methods; linear systems; matrix algebra; robust control; uncertain systems; Lyapunov stability theorem; positive definiteness; robust stability analysis; robust stabilization; sufficient stability condition; system coefficient matrices; uncertain second-order linear systems; Control systems; Linear systems; Lyapunov methods; Matrix converters; Robustness; Stability analysis; Symmetric matrices; Hurwitz stability; Second-order linear systems; symmetric positive definiteness;
fLanguage
English
Publisher
ieee
Conference_Titel
Control Conference (ECC), 2001 European
Conference_Location
Porto
Print_ISBN
978-3-9524173-6-2
Type
conf
Filename
7076527
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