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Lyapunov functions for the multivariable Popov criterion with indefinite multipliers

✍ Scribed by W.P. Heath; Guang Li

Book ID: 104003001
Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 935 KB
Volume: 45
Category: Article
ISSN: 0005-1098
DOI: 10.1016/j.automatica.2009.09.010

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✦ Synopsis

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.

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