STABILITY ANALYSIS FOR A FAMILY OF POLYNOMIALS

Authors
WANG EP
Citation
Ep. Wang, STABILITY ANALYSIS FOR A FAMILY OF POLYNOMIALS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 36(3), 1993, pp. 312-318
Citations number
7
Categorie Soggetti
Multidisciplinary Sciences
Journal title
Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences → ACNP
ISSN journal
10016511
Volume
36
Issue
3
Year of publication
1993
Pages
312 - 318
Database
ISI
SICI code
1001-6511(1993)36:3<312:SAFAFO>2.0.ZU;2-V
Abstract
In this paper, the stability for a family Of polynomials is discussed by the concept of value mapping in coefficient space. The inverse imag e theorem is given to check the Hurwitz stability of the polynomial. T hen the boundary theorem edge theorem, Kharitonov theorem and diamond family theorem are proved by using inverse image theorem.