Abstract
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 finding such singular values and the gap between two plants by using a state space approach.
| Original language | English |
|---|---|
| Pages (from-to) | 327-338 |
| Number of pages | 12 |
| Journal | Systems and Control Letters |
| Volume | 36 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Apr 23 1999 |
| Externally published | Yes |
Keywords
- Gap metric
- Hamiltonian
- Skew Toeplitz theory
- Toeplitz operator
- Two-block problem
ASJC Scopus subject areas
- Control and Systems Engineering
- Computer Science(all)
- Mechanical Engineering
- Electrical and Electronic Engineering
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Hirata, K., Yamamoto, Y., & Tannenbaum, A. (1999). Computation of the singular values of Toeplitz operators and the gap metric. Systems and Control Letters, 36(5), 327-338. https://doi.org/10.1016/S0167-6911(98)00106-6