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

Tiêu đềStability radii for linear time-varying differential–algebraic equations with respect to dynamic perturbations
Loại công bốJournal Article
Năm xuất bản2006
Tác giảDu, NHuu, Linh, VHoang
Tạp chíJournal of Differential Equations
Thể tích230
Trang579 - 599
ISSN0022-0396
Từ khóaInput–output operator
Tóm tắt

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].

URLhttp://www.sciencedirect.com/science/article/pii/S0022039606002555
DOI10.1016/j.jde.2006.07.004