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Comments on: "Lyapunov matrices for a class of time delay systems" by V. L. Kharitonov

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arxiv 1802.06831 v1 pith:OWSOMSQB submitted 2018-02-19 cs.SY cs.SYmath.OC

Murad Abu-Khalaf , Suat Gumussoy This is my paper · ORCID
classification cs.SYmath.OC
keywords systemsboundaryclassdelaylyapunovmatricestimekharitonov
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We prove that an auxiliary two-point boundary value problem presented in V. L. Kharitonov, Lyapunov matrices for a class of time delay systems, Systems & Control Letters 55 (2006) 610-617 has linearly dependent boundary conditions, and consequently a unique solution does not exist. Therefore, the two-point boundary value problem presented therein fails to be a basis for constructing Lyapunov matrices for the class of time delay systems investigated.

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