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**New stability analysis for systems with interval time-varying delay.**
*(English)*
Zbl 1281.93069

Summary: The paper is concerned with the stability of linear systems with interval time-varying delay. A new augmented Lyapunov-Krasovskii Functional (LKF) is constructed, then its time derivative is estimated by improved reciprocally convex approach, and as a result, new less conservative stability criteria are obtained in terms of linear matrix inequalities. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.

### MSC:

93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |

93D30 | Lyapunov and storage functions |

93C05 | Linear systems in control theory |

### Keywords:

stability of linear systems; interval time-varying delay; Lyapunov-Krasovskii functional (LKF); reciprocally convex approach
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\textit{W. Qian} and \textit{J. Liu}, J. Franklin Inst. 350, No. 4, 890--897 (2013; Zbl 1281.93069)

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### References:

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