Robust stability criterion of fractional-order functions for interval fractional-order systems

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29 Citations (Scopus)

Abstract

This study presents a sufficient and necessary stability condition for the stability of interval fractional-order systems. An effective constructive method of the value set on the disturbance function of an interval fractional-order system is investigated to reduce the burden of computations for the redundant vertices and edges. Based on the zero exclusion principle, a test function and terminal conditions are proposed to verify the stability of interval fractional-order systems. Finally, a numerical example is given to illustrate the effectiveness of this proposed stability theorem.

Original languageEnglish
Pages (from-to)60-67
Number of pages8
JournalIET Control Theory and Applications
Volume7
Issue number1
DOIs
Publication statusPublished - 3 Jan 2013

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