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Comments and an improved result on “Stability analysis for continuous system with additive time-varying delays: a less conservative result”. (English) Zbl 1334.34161
Summary: This paper points out a technical problem in the theorem and proof in [R. Dey et al., ibid. 215, No. 10, 3740–3745 (2010; Zbl 1190.34089)]. Furthermore, by employing a newly-proposed integral inequality, an improved stability criterion for a continuous linear system with two additive time-varying delays is presented. A numerical example is given to show the effectiveness of the proposed result.

MSC:
34K20 Stability theory of functional-differential equations
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[1] Dey, R.; Ray, G.; Ghosh, S.; Rakshit, A., Stability analysis for continuous system with additive time-varying delays: a less conservative result, Appl. Math. Comput., 215, 3740-3745, (2010) · Zbl 1190.34089
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