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On Asymptotic Stability of Linear Control Systems

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53060#.VLSMVMnQrzE Author(s) Şerife Yılmaz , Taner Büyükköroğlu , Vakif Dzhafarov Affiliation(s) Department of Mathematics, Faculty of Science, Anadolu University, Eskisehir, Turkey . ABSTRACT Asymptotic stability of linear systems is closely related to Hurwitz stability of the system matrices. For uncertain linear systems we consider stability problem through common quadratic Lyapunov functions (CQLF) and problem of stabilization by linear feedback.   KEYWORDS Common Quadratic Lyapunov Functions , Uncertain System , Gradient Method , Bendixson Theorem Cite this paper Yılmaz, Ş. , Büyükköroğlu, T. and Dzhafarov, V. (2015) On Asymptotic Stability of Linear Control Systems. Applied Mathematics , 6 , 71-77. doi: 10.4236/am.2015.61008 .   References [ 1 ] Liberzon, D. (2003) Switching in System and Control. Birkhäuser, Boston. http://dx.doi.org/10.1007/97...