An assumption-free theorem on discrete-time positive real systems

被引：0

作者：

Branford, Edward ^{[1
]}

Hughes, Timothy ^{[1
]}

机构：

[1] Univ Exeter, Coll Engn Math & Phys Sci, Penryn Campus, Penryn TR10 9EZ, Cornwall, England

来源：

IFAC PAPERSONLINE | 2020年 / 53卷 / 02期

关键词：

Linear systems; time invariant systems; linear multivariable systems; discrete-time positive real lemma; positive real systems; passive systems; FACTORIZATION;

D O I：

10.1016/j.ifacol.2020.12.450

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The discrete-time positive real lemma is examined and the assumptions of controllability and observability are removed. An intermediate theorem is proved that removes only the assumption of controllability. This work is intended to be the counterpart-and is inspired by recent work on the continuous-time positive real lemma, and does not assume asymptotic stability unlike the recent results of Ferrante and Ntogramatzidis (2017). Copyright (C) 2020 The Authors.

引用

页码：4474 / 4480

页数：7

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