On data-dependence of exponential stability and stability radii for linear time-varying differential-algebraic systems

Tiêu đềOn data-dependence of exponential stability and stability radii for linear time-varying differential-algebraic systems
Loại công bốJournal Article
Năm xuất bản2008
Tác giảChyan, C-J, Du, NHuu, Linh, VHoang
Tạp chíJournal of Differential Equations
Thể tích245
Trang2078 - 2102
ISSN0022-0396
Từ khóaData-dependence
Tóm tắt

This paper is addressed to some questions concerning the exponential stability and its robustness measure for linear time-varying differential-algebraic systems of index 1. First, the Bohl exponent theory that is well known for ordinary differential equations is extended to differential-algebraic equations. Then, it is investigated that how the Bohl exponent and the stability radii with respect to dynamic perturbations for a differential-algebraic system depend on the system data. The paper can be considered as a continued and complementary part to a recent paper on stability radii for time-varying differential-algebraic equations [N.H. Du, V.H. Linh, Stability radii for linear time-varying differential-algebraic equations with respect to dynamic perturbations, J. Differential Equations 230 (2006) 579–599].

URLhttp://www.sciencedirect.com/science/article/pii/S0022039608003227
DOI10.1016/j.jde.2008.07.016