Abstract
In the literature, the dual matrix pencils sF - G and F - over(s, ̂) G are identified with the homogeneous pencil sF - over(s, ̂) G. In the present paper, for a given a homogeneous pencil which is unstable, in the sense that it has roots in the closed right half-plane, a bilinear transformation is determined such that the new homogeneous bilinear-equivalent matrix pencil is stable. The notion of bilinear equivalence is introduced and a stabilization criterion of a homogeneous matrix pencil is finally derived.
Original language | English |
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Pages (from-to) | 2852-2862 |
Number of pages | 11 |
Journal | Linear Algebra and Its Applications |
Volume | 428 |
Issue number | 11-12 |
DOIs | |
Publication status | Published - 1 Jun 2008 |
Externally published | Yes |
Keywords
- Bilinear equivalence
- Elementary divisors
- Linear systems
- Matrix pencil
- Stability