Comments and an improved result on “Stability analysis for continuous system with additive time-varying delays: a less conservative result”.

*(English)*Zbl 1334.34161Summary: 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 |

##### Keywords:

additive time-delays; delay-dependent stability; Lyapunov-Krasovskii functional; linear matrix inequality (LMI)
Full Text:
DOI

##### References:

[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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[3] | Wu, H. X.; Liao, X. F.; Feng, W.; Guo, S. T.; Zhang, W., Robust stability analysis of uncertain systems with two additive time-varying delay components, Appl. Math. Model., 33, 4345-4353, (2009) · Zbl 1173.93024 |

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[6] | Park, P.; Ko, J. W.; Jeong, C., Reciprocally convex approach to stability of systems with time-varying delays, Automatica, 47, 235-238, (2011) · Zbl 1209.93076 |

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