Stability analysis of systems via a new double free-matrix-based integral inequality with interval time-varying delay

Wenbin Chen and Fang Gao

International Journal of Systems Science, 2019, vol. 50, issue 14, 2663-2672

Abstract: This paper investigates the problem of delay-dependent stability analysis for systems with interval time-varying delay. By means of a new double free-matrix-based integral inequality and augmented Lyapunov–Krasovskii functionals containing as much information of time-varying delay as possible, a new stability criterion for systems is established. Firstly, by a double integral term two-step estimation approach and combined with single free-matrix-based integral inequalities, a stability criteria is presented. Then, compared with the double integral term two-step estimation approach, the proposed new double free-matrix-based integral inequality with more related time delays has potential to lead to a criterion with less conservatism. Finally, the validity of the presented method is demonstrated by two numerical examples.

Date: 2019
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DOI: 10.1080/00207721.2019.1672118

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