非自治非线性DEDS的周时研究

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

对于一般的非自治系统 ,根据对偶定理给出一个通用的周时计算公式 ,并将其应用到几类非线性 DEDS,得到了一些结果 ,其中包括关于分离系统特征值的 Olsder定理的一个简洁证明 ,一类具有特定结构的 min- max系统在输入均匀序列情况下的周时公式 ,以及广义二分系统的周时限幅器等。这些结果对非线性 DEDS的分析。

The cycle time is the most important parameter associated with a min-max system. Based on the duality theorem, a general cycle time formula is derived. Application of this formula to some special classes of min-max systems gives some results, including a short proof of Olsder′s theorem on the eigenvalue of separated min-max systems,a cycle time formula for min-max systems with certain structure driven by uniform input, and a cycle time clipper for wide-sense bipartite systems. These results are useful for the analysis, synthesis and cycle time assignment of min-max systems.