淡江大學機構典藏:Item 987654321/72644
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    Please use this identifier to cite or link to this item: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/72644


    Title: On data-dependence of exponential stability and stability radii for linear time-varying differential-algebraic systems
    Authors: Chyan, Chuan-jen;Du, Nguyen Huu;Linh, Vu Hoang
    Contributors: 淡江大學數學學系
    Keywords: Exponential stability;Bohl exponent;Stability radii;Differential-algebraic equations;Data-dependence
    Date: 2008-10
    Issue Date: 2011-10-24 10:46:43 (UTC+8)
    Publisher: Maryland Heights: Academic Press
    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]. (C) 2008 Elsevier Inc. All rights reserved.
    Relation: Journal of Differential Equations 245(8), pp.2078-2102
    DOI: 10.1016/j.jde.2008.07.016
    Appears in Collections:[Department of Applied Mathematics and Data Science] Journal Article

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