Strict positive realness for linear time-delay systems

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

5 Scopus Citations
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Detail(s)

Original languageEnglish
Pages (from-to)1-9
Journal / PublicationInternational Journal of Systems Science
Volume34
Issue number1
Publication statusPublished - 15 Jan 2003

Abstract

The strict positive redness (SPR) of a linear time-delay system via a linear matrix inequality (LMI) technique is studied. Presented are sufficient conditions via LMIs such that the linear delayed system is strictly positive real. More generally, we present a memoryless state feedback controller via LMIs such that the resulting closed-loop system is SPR with an α-asymptotic stability constraint (α-SPR) for a class of linear time-delay control systems. Furthermore, an LMI approach to the optimization problem of computation of the maximal allowable bound on the time delays is given such that the closed-loop system is α-SPR. Finally, a numerical example illustrates the effectiveness of the results.

Citation Format(s)

Strict positive realness for linear time-delay systems. / Lu, Guoping; Ho, D. W C; Yeung, L. F.
In: International Journal of Systems Science, Vol. 34, No. 1, 15.01.2003, p. 1-9.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review