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Rank-one LMI Approach to Stability of 2-D Polynomial Matrices

✍ Scribed by Didier Henrion; Michael Sebek; Olivier Bachelier

Book ID
110263817
Publisher
Springer US
Year
2001
Tongue
English
Weight
246 KB
Volume
12
Category
Article
ISSN
0923-6082

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πŸ“œ SIMILAR VOLUMES

Rank-one LMI approach to simultaneous st
Rank-one LMI approach to simultaneous stabilization of linear systems
✍ Didier Henrion; Sophie Tarbouriech; Michael Ε ebek πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 110 KB

Following a polynomial approach to control design, the simultaneous stabilization by a controller of given ΓΏxed order of a family of SISO linear systems is interpreted as an NP-hard BMI feasibility problem. Upon formulating this BMI problem as an LMI problem with an additional non-convex rank constr

On the determinant of quaternionic polyn
On the determinant of quaternionic polynomial matrices and its application to system stability
✍ Ricardo Pereira; Paula Rocha πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 197 KB πŸ‘ 1 views

## Abstract In this paper, we propose a definition of determinant for quaternionic polynomial matrices inspired by the well‐known DieudonnΓ© determinant for the constant case. This notion allows to characterize the stability of linear dynamical systems with quaternionic coefficients, yielding result