Computing the zeros of periodic descriptor systems

✍ Scribed by Andras Varga; Paul Van Dooren

• Book ID: 104300667
• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 255 KB
• Volume: 50
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(03)00194-4

✦ Synopsis

In this paper, we give a numerically reliable algorithm to compute the zeros of a periodic descriptor system. The algorithm is a variant of the staircase algorithm applied to the system pencil of an equivalent lifted time-invariant state-space system and extracts a low-order pencil which contains the zeros (both ÿnite and inÿnite) as well as the Kronecker structure of the periodic descriptor system. The proposed algorithm is e cient in terms of complexity by exploiting the structure of the pencil and is exclusively based on orthogonal transformations, which ensures some form of numerical stability.