Disk stability and robustness for discrete-time systems with multiple time-delays

R. J. Wang, W. J. Wang

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

This paper proposes two disk stability criteria for the multiple time-delay discrete-time system. One is a direct test (i.e., test l0<1), and the other is a boundary test. These criteria give the sufficient conditions under which all the roots of the characteristic equation are inside a specified disk D(α, γ) with center (α, 0) and radius γ. In that case, the system is called `D(α, γ)-stable.' These criteria are also extended to the system with unstructured or highly structured perturbations. If the system is not D(α, γ)-stable, these criteria also show the region in which those `unstable' characteristic roots locate.

Original languageEnglish
Pages (from-to)1505-1513
Number of pages9
JournalControl, theory and advanced technology
Volume10
Issue number4 pt 3
StatePublished - Sep 1995

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