Robust stability of time-invariant systems with delays

Author

Yu, Xin ; Li, Yongyong

Author_Institution

Ningbo Inst. of Technol., Zhejiang Univ., Ningbo

fYear

2008

fDate

1-3 Sept. 2008

Firstpage

1126

Lastpage

1129

Abstract

This paper deals with the robust stability of time-invariant systems with delays. Using the frequency domain edge theorem developed by Fu, Olbrot and Polis (IEEE Tran. Automat. Contr. 34(1989), 813-820), which presents that the robust stability of a polytope generated by the convex combination of a number of quasipolynomials is equivalent to the stability of the edge quasipolynomials, the authors give the edge theorem of time domain version for the robust stability of the delay systems with rank-one uncertainty. An illustrative example was given in the last section.

Keywords

delay systems; delays; frequency-domain analysis; polynomials; robust control; time-domain analysis; uncertain systems; delay system; edge quasipolynomial; frequency domain edge theorem; robust stability; time domain version; time-invariant system; uncertain system; Automation; Bismuth; Delay systems; Frequency domain analysis; Logistics; Mathematics; Paper technology; Polynomials; Robust stability; Uncertainty; Edge Theorem; delay system; polytope; robust Hurwitz stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Automation and Logistics, 2008. ICAL 2008. IEEE International Conference on

Conference_Location

Qingdao

Print_ISBN

978-1-4244-2502-0

Electronic_ISBN

978-1-4244-2503-7

Type

conf

DOI

10.1109/ICAL.2008.4636320

Filename

4636320