Global Robustness with q-Step Deay for Max-Plus Linear Systems

被引：0

作者：

Yin, Yingxuan ^{[1
]}

Tao, Yuegang ^{[1
]}

Wang, Cailu ^{[2
]}

Tan, Jianguo ^{[3
]}

机构：

[1] Hebei Univ Technol, Sch Artificial Intelligence, Tianjin 300130, Peoples R China

[2] Beijing Inst Technol, Sch Automat, Beijing 100081, Peoples R China

[3] Handan Inst Environm Protect, Handan 056001, Peoples R China

来源：

IFAC PAPERSONLINE | 2020年 / 53卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Global robustness; globally robust with q-step delay; max-plus linear system; variablel element; graph method;

D O I：

10.1016/j.ifacol.2021.04.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper considers the global robustness of max-plus linear systems and investigates the global robustness with q-step delay, which requires the states keep unchanged under the bounded parameter perturbations after finite number of activities. For a class of stable maxplus linear systems, the variable elements with respect to the global robustness with q-step delay are found out under arbitrary initial states based on a graph method. A numerical example and its simulation are presented to illustrate the results. Copyright (C) 2020 The Authors.

引用

页码：48 / 53

页数：6

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