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Licensed Unlicensed Requires Authentication Published by De Gruyter February 25, 2010

On the ξ-Exponentially Asymptotic Stability of Linear Systems of Generalized Ordinary Differential Equations

  • M. Ashordia and N. Kekelia

Abstract

Necessary and sufficient conditions and effective sufficient conditions are established for the so-called ξ-exponentially asymptotic stability of the linear system

𝑑𝑥(𝑡) = 𝑑𝘈(𝑡) · 𝑥(𝑡) + 𝑑𝑓(𝑡),

where and are respectively matrix- and vector-functions with bounded variation components, on every closed interval from [0, +∞[ and ξ : [0, +∞[ → [0, +∞[ is a nondecreasing function such that .

Received: 2001-03-13
Published Online: 2010-02-25
Published in Print: 2001-December

© Heldermann Verlag

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