Title

An Extreme Point Result For Robust Stability Of Discrete-Time Systems With Complex Coefficients In Two Diamonds

Abstract

For continuous-time systems, robust stability problem that coefficients of characteristic polynomial vary in a diamond can be considered to be a "dual" problem to Kharitonov's theorem on interval polynomials. This paper aims at developing similar results for discrete-time systems. Specifically, it has been shown that stability of a family of polynomials, whose complex coefficients lie in two diamonds of some transformed parameter space, can be determined by simply checking twelve extremal polynomials. If the coefficients are real, only four extremal polynomials are required, these results can be viewed as a counterpart of Kharitonov's result (strong version) for discrete-time systems.

Publication Date

1-1-1992

Publication Title

Proceedings of the 1st IEEE Conference on Control Applications, CCA 1992

Number of Pages

111-116

Document Type

Article; Proceedings Paper

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1109/CCA.1992.269890

Socpus ID

85065818319 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/85065818319

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