State space representation for arbitrary orthogonal rational functions

✍ Scribed by Patrick Van gucht; Adhemar Bultheel

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 230 KB
• Volume: 49
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(02)00303-1

✦ Synopsis

We ÿrst give a brief summary of the arguments that lead to the conclusion that the use of orthogonal rational functions in system identiÿcation should not be restricted to the Takenaka-Malmquist basis because there are important cases where orthogonality with respect to a certain nonnegative weight function is required. The main result, however, is a generalization of known state space descriptions for the Takenaka-Malmquist basis to the more general case. This is important for control problems.