𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the solvability of polynomial systems arising in control

✍ Scribed by Xiaochang Wang


Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
153 KB
Volume
425
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


A Family of Sparse Polynomial Systems Ar
✍ Karin Gatermann; Birkett Huber πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 511 KB

The positive steady states of chemical reaction systems modeled by mass action kinetics are investigated. This sparse polynomial system is given by a weighted directed graph and a weighted bipartite graph. In this application the number of real positive solutions within certain affine subspaces of R

On the solvability of a nonlinear bounda
✍ K. Latrach; M. A. Taoudi; A. Zeghal πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons 🌐 English βš– 153 KB

## Abstract In this paper we establish some results regarding the existence of solution on __L__~1~ spaces to a nonlinear boundary value problem originally proposed by Lebowitz and Rubinow (__J. Math. Biol.__ 1974; **1**:17–36) to model an age‐structured proliferating cell population. Our approach,

On the Riccati Equations Arising in Robu
✍ O. I. Kosmidou; Y. S. Boutalis πŸ“‚ Article πŸ“… 2005 πŸ› John Wiley and Sons βš– 669 KB

Robust control of dynamic linear systems with model uncertainties involves modified Riccati equations (MRE) i.e. Riccati equations with additional terms depending on the uncertainties and on specific upper bounding functions. Robust controller design is based on the existence and computation of posi

On the Number of Solutions of Polynomial
✍ M. Boguslavsky πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 247 KB

We consider systems of homogenous polynomial equations of degree d in a projective space ‫ސ‬ m over a finite field ‫ކ‬ q . We attempt to determine the maximum possible number of solutions of such systems. The complete answer for the case r Ο­ 2, d Ο½ q Οͺ 1 is given, as well as new conjectures about th