A criterion for root exclusion from a region composed as a union of elemental regions-discs and halfplanes-is established. Associated with each elemental region is a derived polynomial which must be by the criterion a strictly Hurwitz polynomial. The criterion is the basis for a root exclusion test,
Root clustering for rational convex regions
β Scribed by Shaul Gutman; Fabian Chojnowski
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 258 KB
- Volume
- 318
- Category
- Article
- ISSN
- 0016-0032
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β¦ Synopsis
We restrict the discussion of root clustering (exclusion) to rational convex regions. A region in thisfamily is constructed as the intersection of an injinite number of halfplanes. The
root clustering criterion inooloes the positiuity ofa set ofpolynomials with respect to the region's parameter.
π SIMILAR VOLUMES
## Abstract Let π be the class of convex univalent functions __f__ in the unit disc π» normalized by __f__ (0) = __f__ β²(0) β 1 = 0. For __z__ ~0~ β π» and |__Ξ»__ | β€ 1 we shall determine explicitly the regions of variability {log __f__ β²(__z__ ~0~): __f__ β π, __f__ β³(0) = 2__Ξ»__ }. (Β© 2006 WILEYβVC
The research for robustness bounds for systems whose behaviour is described by a linear state-space model is addressed. The paper lays stress on the location of the eigenvalues of the state matrix when this matrix is subject either to an unstructured additive uncertainty or to a structured additive
In this paper, the problem of matrix root clustering in sub-regions of complex plane for linear state space models with real parameter uncertainty is considered. The nominal matrix root clustering theory of Gutman and Jury (1981, IEEE Trans. Aut. Control, AC-26, 403) using Generalized Lyapunov Equat