|Tiêu đề||On data-dependence of exponential stability and stability radii for linear time-varying differential-algebraic systems|
|Loại công bố||Journal Article|
|Năm xuất bản||2008|
|Tác giả||Chyan, C-J, Du, NHuu, Linh, VHoang|
|Tạp chí||Journal of Differential Equations|
|Trang||2078 - 2102|
|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].