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    题名: On data-dependence of exponential stability and stability radii for linear time-varying differential-algebraic systems
    作者: Chyan, Chuan-jen;Du, Nguyen Huu;Linh, Vu Hoang
    贡献者: 淡江大學數學學系
    关键词: Exponential stability;Bohl exponent;Stability radii;Differential-algebraic equations;Data-dependence
    日期: 2008-10
    上传时间: 2011-10-24 10:46:43 (UTC+8)
    出版者: Maryland Heights: Academic Press
    摘要: 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]. (C) 2008 Elsevier Inc. All rights reserved.
    關聯: Journal of Differential Equations 245(8), pp.2078-2102
    DOI: 10.1016/j.jde.2008.07.016
    显示于类别:[數學學系暨研究所] 期刊論文

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