Stability radii for linear time-varying differential-algebraic equations with respect to dynamic perturbations
https://doi.org/10.1016/j.jde.2006.07.004Publisher, magazine: ,
Publication year: 2006
Lưu Trích dẫn Chia sẻAbstract
This paper is concerned with the robust stability for linear time-varying differential–algebraic equations. We consider the systems under the effect of uncertain dynamic perturbations. A formula of the structured stability radius is obtained. The result is an extension of a previous result for time-varying ordinary differential equations proven by Birgit Jacob [B. Jacob, A formula for the stability radius of time-varying systems, J. Differential Equations 142 (1998) 167–187].
Tags: Robust stability,Linear time-varying system,Differential–algebraic equation,Input–output operator
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