Exact stability sets for a linear difference system with diagonal delay |
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Authors: | Hideaki Matsunaga Chikako Hajiri |
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Affiliation: | Department of Mathematical Sciences, Osaka Prefecture University, Sakai 599-8531, Japan |
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Abstract: | This paper is devoted to the stability analysis of a delay difference system of the form xn+1=axn−k+byn, yn+1=cxn+ayn−k, where a, b and c are real numbers and k is a positive integer. We establish some exact conditions for the zero solution of the system to be asymptotically stable. |
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Keywords: | Delay difference systems Discrete systems Stability Diagonal delay |
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