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- W2782486369 abstract "In this paper, a class of difference equations with variable-time impulses is considered. By applying comparison principle, we shall show that difference equations with variable-time impulse can be reduced to the corresponding difference equations with fixed-time impulses under well-selected conditions. Meanwhile, the fixed-time impulsive systems can be regarded as the comparison system of the difference equations with variable-time impulses. Furthermore, we use a series of sufficient criteria to illustrate the same stability properties between variable-time impulsive difference equations and the fixed-time ones. We then establish several sufficient conditions guaranteeing the global exponential stability of variable-time impulsive difference equations by comparison principle. As an application, global exponential stability of discrete-time neural networks with variable-time impulses is discussed. Finally, two numerical examples are provided to illustrate the effectiveness of the proposed results." @default.
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- W2782486369 date "2018-01-20" @default.
- W2782486369 modified "2023-10-16" @default.
- W2782486369 title "Comparison principle for difference equations with variable-time impulses" @default.
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- W2782486369 doi "https://doi.org/10.1142/s0217984918500136" @default.
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