๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the robust stability of characteristic polynomials with multilinear coefficients

โœ Scribed by L.R. Pujara; B.B. Srinivas

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
513 KB
Volume
30
Category
Article
ISSN
0362-546X

No coin nor oath required. For personal study only.

โœฆ Synopsis

It is well known that the application of the Mappin, 0 Theorem for determining the stability of characteristic polynomials with multilinear coefficients yields conservative results. We show that if the exposed twodimensional faces of the overbounding polytope, (obtained by enclosing the region represented by a multilinear polynomial by applying the Mapping Theorem), are known, then the conservatism can be reduced. We illustrate the procedure by giving a numerical example of the longitudinal control system design of the aircraft F-15.

๐Ÿ“œ SIMILAR VOLUMES

Robust Schur stability of a complex-coef
Robust Schur stability of a complex-coefficient polynomials set with coefficients in a diamond
โœ A. Katbab; E.I. Jury ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 603 KB

Strict Schur property of' a complex-co@icient ,family of polynomials uxith the transformed coe@cients varying in a diamond is considered. It is proved that the checking of eight edge polynomials provides necessary and s@cient conditions for the strict Schur property of the transformed .family of per

On robust stability of polynomials with
On robust stability of polynomials with polynomial parameter dependency: solTwothree parameter cases
โœ D. Kaesbauer ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 227 KB

AImrad--We consider real polynomials whose coefficients depend polynomially on the elements of an uncertain parameter vector. The size of perturbation is characterized by the weighted norm of the parameter vector. The smallest destabilizing perturbation defines the stability radius of the set of unc

Simplification of a recent result on rob
Simplification of a recent result on robust schur stability of a complex-coefficient polynomials set with coefficients in a diamond
โœ K.K. Yen; S.F. Zhou ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 326 KB

In apreviouspaper (Yen and Zhou, J. Franklin Inst. 1996), Schur stability ofa family of polynomials with transformed coefficients varying in a diamond was studied. A necessary ad suj3cient condition was given for the stability of the entire family ij" a selected set of 16 (for even n) or 32 (for odd