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 |
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Original language | English |
Pages (from-to) | 2977 - 2981 |
Number of pages | 5 |
Journal | Automatica |
Volume | 45 |
DOIs | |
Publication status | Published - Dec 2009 |