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.
Original language | English |
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Pages (from-to) | 2977-2981 |
Number of pages | 4 |
Journal | Automatica |
Volume | 45 |
Issue number | 12 |
Early online date | 8 Oct 2009 |
DOIs | |
Publication status | Published - 1 Dec 2009 |
Keywords
- Lyapunov functions
- Multipliers
- Multivariable feedback systems
- Popov criterion
- Stability tests