Abstract
We demonstrate the existence of Lur’e-Postnikov type Lyapunov functions for a reasonably general form of the multivariable Popov criterion. In particular, the multipliers need not be positive semi-definite. We discuss the application to the special cases where the feedback element is either diagonal, unstructured or linear.
| Translated title of the contribution | Lyapunov functions for the multivariable Popov criterion with indefinite multipliers |
|---|---|
| Original language | English |
| Pages (from-to) | 2977 - 2981 |
| Number of pages | 5 |
| Journal | Automatica |
| Volume | 45 |
| DOIs | |
| Publication status | Published - Dec 2009 |