Abstract
We give state space formulas for a ("central") solution of the suboptimal Nehari problem for functions defined on the unit disc and taking values in the space of bounded operators in separable Hilbert spaces. Instead of assuming exponential stability, we assume a weaker stability concept (the combination of input-, output- and input-output stability), which allows us to solve the problem for general H-infinity functions.
| Original language | English |
|---|---|
| Pages (from-to) | 35-59 |
| Number of pages | 25 |
| Journal | Integral Equations and Operator Theory |
| Volume | 64 |
| Issue number | 1 |
| Early online date | 23 Apr 2009 |
| DOIs | |
| Publication status | Published - 1 May 2009 |
Keywords
- Lyapunov equations
- Nehari problem
- Hankel operators
- J-spectral factorizations
- Infinite-dimensional linear systems