| Title | Stability radii for linear time-varying differential–algebraic equations with respect to dynamic perturbations |
| Publication Type | Journal Article |
| Year of Publication | 2006 |
| Authors | Du, NHuu, Linh, VHoang |
| Journal | Journal of Differential Equations |
| Volume | 230 |
| Pagination | 579 - 599 |
| ISSN | 0022-0396 |
| Keywords | Input–output operator |
| Abstract | 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]. |
| URL | http://www.sciencedirect.com/science/article/pii/S0022039606002555 |
| DOI | 10.1016/j.jde.2006.07.004 |