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A converse to global exponential stability of a class of difference equations

DOI: 10.1186/1687-1847-2013-9

Keywords: global exponential stability, exponential bound, difference equations, strongly equivalent metric

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Abstract:

This paper discusses the global exponential stability of a class of difference equations. Sufficient and necessary conditions for the global exponential stability are derived. Particularly, the equivalent relationship between the global exponential stability of difference equations and the contractive property of the nonlinear operator of the systems is shown.

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