Robust stability of polynomials : New approach

The problem of the robust stability of a Hurwitz polynomial which is the characteristic polynomial of a discrete-time linear time-invariant system is investigated. A new approach based on the Rouché theorem of classical complex analysis is adopted. An interesting sufficient condition for robust stab...

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Bibliographic Details
Published in:Journal of optimization theory and applications 1997-06, Vol.93 (3), p.635-638
Main Author: MASTORAKIS, N. E
Format: Article
Language:English
Subjects:
Algebra
Applied sciences
Computer science
control theory
systems
Control system analysis
Control theory. Systems
Exact sciences and technology
Field theory and polynomials
Mathematics
Sciences and techniques of general use
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Summary:The problem of the robust stability of a Hurwitz polynomial which is the characteristic polynomial of a discrete-time linear time-invariant system is investigated. A new approach based on the Rouché theorem of classical complex analysis is adopted. An interesting sufficient condition for robust stability is derived. Three examples are included to support the theoretical result.
ISSN:0022-3239
1573-2878
DOI:10.1023/a:1022603415620