一类二维线性系统的强实用稳定性

K. Gałkowski, E. Rogers, A. Gramacki, J. Gramacki, D. Owens
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引用次数: 9

摘要

线性重复过程是一类独特的二维线性系统,具有理论和实践意义。这些过程的稳定性理论目前由两个不同的概念组成,分别称为渐近稳定性和沿程稳定性,其中前者是后者的必要条件。最近出现了一些应用,其中渐近稳定性太弱,而沿通道稳定性太强,无法取得有意义的进展。针对这种情况,本文提出了强实用稳定性的概念。
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Strong practical stability for a class of 2D linear systems
Linear repetitive processes are a distinct class of 2D linear systems of both theoretical and practical interest. The stability theory for these processes currently consists of two distinct concepts termed asymptotic stability and stability along the pass respectively where the former is a necessary condition for the latter. Recently applications have arisen where asymptotic stability is too weak and stability along the pass is too strong for meaningful progress to be made. This paper develops the concept of strong practical stability for such cases.
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