On the cycle time of non-autonomous min-max systems

Yiping Cheng, D. Zheng
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引用次数: 4

Abstract

The cycle time is an important performance metric associated with a min-max system. In this paper we study the cycle time of non-autonomous min-max systems. Based on the duality theorem, a general cycle time formula is derived, then we apply this formula to some special classes of min-max systems and obtain some results, which include a short proof of Olsder's theorem on the eigenvalue of separated min-max systems, a cycle time formula for min-max systems with triangular structure driven by uniform input, and a cycle time clipper for wide-sense bipartite systems.
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非自治最小最大系统的循环时间
循环时间是与最小-最大系统相关的重要性能指标。本文研究了非自治极小极大系统的周期时间问题。在对偶定理的基础上,导出了循环时间的一般公式,并将该公式应用于若干特殊类型的最小-最大系统,得到了关于分离最小-最大系统特征值的Olsder定理的一个简短证明,一致输入驱动的三角形结构最小-最大系统的一个循环时间公式,以及广义二部系统的一个循环时间剪子。
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