Discrete time dissipativeness on the dipolynomial ring
Discrete time dissipativeness on the dipolynomial ring
复制标题
二多项式环上的离散时间耗散
DOI：
10.3182/20020721-6-es-1901.00201
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发表时间：
2002
期刊：
影响因子：
--
通讯作者：
T. Fujii
中科院分区：
文献类型：
--
作者：
O. Kaneko;T. Fujii
本文考虑二次差分形式和二元多项式矩阵的离散时间耗散性。我们证明了如果一个系统在双多项式环上对于一个供给速率是耗散的，那么在双多项式环上也存在存储函数和耗散速率。此外，我们还澄清了在二多项式环上是否存在给定供给速率的极值存储函数。这一推广从理论上有效地推广了离散时间耗散理论。
In this paper, we consider discrete time dissipativeness on quadratic difference forms and two-variable dipolynomial matrices. We show that if a system is dissipativeness for a supply rate on the dipolynomial ring, then there also exist storage functions and dissipation rates on the dipolynomial ring. Moreover, we clarify whether extremal storage functions for a given supply rates on the dipolynomial ring. This generalization is effective to extend dissipation theory in discrete time from the theoretical points of view.