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• W2009452741 abstract "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]." @default.
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• W2009452741 date "2008-10-01" @default.
• W2009452741 modified "2023-09-23" @default.
• W2009452741 title "On data-dependence of exponential stability and stability radii for linear time-varying differential-algebraic systems" @default.
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• W2009452741 doi "https://doi.org/10.1016/j.jde.2008.07.016" @default.
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