𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Linear conditions for positive determinants

✍ Scribed by J.M. Carnicer; T.N.T. Goodman; J.M. Peña

Book ID
104156575
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
545 KB
Volume
292
Category
Article
ISSN
0024-3795

No coin nor oath required. For personal study only.

✦ Synopsis

Weakest linear conditions on the rows of a square matrix of arbitrary dimension to ensure that its determinant is positive are described and analyzed. In addition to strict diagonal dominance by rows with positive diagonal elements, we ®nd a new weakest set of conditions: the row mean being positive and larger than all the o-diagonal entries in that row. A complete classi®cation is provided for 3 Â 3 matrices.

📜 SIMILAR VOLUMES

Observers for linear positive systems
Observers for linear positive systems
✍ Hanna M. Härdin; Jan H. van Schuppen 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 299 KB

Observer synthesis for linear positive systems is treated. The concept of observability of a linear positive system is defined and a characterization of observability is provided. An observable canonical form is proposed for a linear positive system with respect to an equivalent relation defined by