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| Titel: |
Extension of Popov absolute stability criterion to non-autonomous systems with delays |
| Auteur: |
Bliman, Pierre-Alexandre |
| Verschenen in: |
International journal of control |
| Paginering: | Jaargang 73 (2000) nr. 15 pagina's 1349-1361 |
| Jaar: |
2000-10-10 |
| Inhoud: |
This paper extends in a simple way the classical absolute stability Popov criterion to multivariable systems with delays and with time-varying memoryless non-linearities subject to sector conditions. The proposed sufficient conditions are expressed in the frequency domain, a form well-suited for robustness issues, and lead to simple graphical interpretations for scalar systems. Apart from the usual conditions, the results assume basically a generalized sector condition on the derivative of the non-linearities with respect to time. Results for local and global stability are given, the latter concerning in particular the linear time-varying ones. For rational transfers, the frequency conditions are equivalent to some easy-tocheck linear matrix inequalities:this leads to a tractable method of numerical resolution by rational approximation of the transfer. As an illustration, a numerical example is provided. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 4 van 7 gevonden artikelen
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