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
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;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2
