中立型系统的极大渐近性

2012 17th International Conference on Methods & Models in Automation & Robotics (MMAR) Pub Date : 2012-11-12 DOI:10.1109/MMAR.2012.6347816

G. Sklyar, P. Polak

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引用次数: 0

摘要

考虑一类具有分布延迟的中立型微分系统。得到了系统对应算子生成的半群的精确范数估计。我们的结果是基于算子的谱分析和矩阵指数范数的一致估计。讨论了相应解的稳定性和增长最快解的存在性。

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Maximal asymptotics of neutral type systems

We consider a differential system of neutral type with distributed delay. We obtain a precise norm estimation of semigroup generated by the operator corresponding to the system in question. Our result is based on a spectral analysis of the operator and some uniform estimation of norms of the exponentials of matrices. We also discuss the stability properties of corresponding solutions and the existence of the fastest growing solution.

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来源期刊

2012 17th International Conference on Methods & Models in Automation & Robotics (MMAR)

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