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Qian, Wei; Liu, Juan

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

J. Franklin Inst. 350, No. 4, 890-897 (2013).
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.

Cited in 11 Documents

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)
Full Text: DOI

References:

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