Computation of the singular values of Toeplitz operators and the gap metric

✍ Scribed by Kentaro Hirata; Yutaka Yamamoto; Allen Tannenbaum

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 169 KB
• Volume: 36
• Category: Article
• ISSN: 0167-6911
• DOI: 10.1016/s0167-6911(98)00106-6

✦ Synopsis

It is widely recognized that the computation of gap metric is equivalent to a certain two-block H ∞ problem, i.e., the gap is equal to the norm of a certain two-block operator. However, it can also be characterized as the smallest singular value of a certain Toeplitz operator. This paper derives a simple computational method for ÿnding such singular values and the gap between two plants by using a state space approach.