Advanced stability criteria for linear systems with time-varying delays

M. J. Park; O. M. Kwon; J. H. Ryu

doi:10.1016/j.jfranklin.2017.11.029

Advanced stability criteria for linear systems with time-varying delays

M. J. Park
, O. M. Kwon
, J. H. Ryu

Research output: Contribution to journal › Article › peer-review

64 Citations (Scopus)

Abstract

This paper investigates a stability problem for linear systems with time-varying delays. By constructing suitable augmented Lyapunov–Krasovskii functionals, improved stability criteria under various conditions of time-varying delays are derived within the framework of linear matrix inequalities (LMIs). Moreover, to reduce the computational burden caused by the non-convex term including h²(t), how to deal with it is applied by estimating it to the convex term including h(t). Finally, three illustrative examples are given to show the effectiveness of the proposed criteria.

Original language	English
Pages (from-to)	520-543
Number of pages	24
Journal	Journal of the Franklin Institute
Volume	355
Issue number	1
DOIs	https://doi.org/10.1016/j.jfranklin.2017.11.029
Publication status	Published - Jan 2018

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© 2017 The Franklin Institute

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AB - This paper investigates a stability problem for linear systems with time-varying delays. By constructing suitable augmented Lyapunov–Krasovskii functionals, improved stability criteria under various conditions of time-varying delays are derived within the framework of linear matrix inequalities (LMIs). Moreover, to reduce the computational burden caused by the non-convex term including h2(t), how to deal with it is applied by estimating it to the convex term including h(t). Finally, three illustrative examples are given to show the effectiveness of the proposed criteria.

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Advanced stability criteria for linear systems with time-varying delays

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