A note on asymptotic stability of delay difference systems | Zendy

Hideaki Matsunaga | Zendy

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A note on asymptotic stability of delay difference systems

Author(s) -

Hideaki Matsunaga

Publication year - 2005

Publication title -

journal of inequalities and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.735

H-Index - 50

eISSN - 1029-242X

pISSN - 1025-5834

DOI - 10.1155/jia.2005.119

Subject(s) - mathematics , integer (computer science) , constant (computer programming) , zero (linguistics) , exponential stability , stability (learning theory) , matrix (chemical analysis) , mathematical analysis , control theory (sociology) , nonlinear system , control (management) , philosophy , linguistics , physics , quantum mechanics , machine learning , computer science , programming language , materials science , management , economics , composite material

For the linear delay difference system xn+1 − xn = Axn−k ,w hereA is a2 × 2r eal constant matrix and k is a nonnegative integer, we present an explicit necessary and sufficient condition for the asymptotic stability of the zero solution of this system in terms of det A, trA, and the delay k.

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