Stability radii for linear time-varying differential–algebraic equations with respect to dynamic perturbations

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].