Robust Stability Analysis of Uncertain Interconnection in the Behavioral Framework
نویسنده
چکیده
This paper considers the robust stability of the interconnection of a linear timeinvariant differential nominal system and passive uncertainties in the behavioral framework. A generalized version of the well-known passivity theorem is formulated by using quadratic differential forms. Based on the generalized passivity theorem, it is proved that, if the nominal system is Φ-passive, the interconnection is robustly stable against strictly Φ -passive uncertainty. Moreover, we show that the Φ-passivity of the nominal system is a necessary and sufficient condition for the robust stability of a “regular” interconnection. Copyright c 2005 IFAC
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