On reachable sets for positive linear systems under constrained exogenous inputs

被引：44

作者：

Du, Baozhu ^{[1
]}

Lam, James ^{[2
]}

Shu, Zhan ^{[3
]}

Chen, Yong ^{[2
]}

机构：

[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing, Jiangsu, Peoples R China

[2] Univ Hong Kong, Dept Mech Engn, Pokfulam Rd, Hong Kong, Hong Kong, Peoples R China

[3] Univ Southampton, Fac Engn & Environm, Electro Mech Engn Grp, Highfield Campus, Southampton SO17 1BJ, Hants, England

来源：

AUTOMATICA | 2016年 / 74卷

基金：

中国国家自然科学基金;

关键词：

Hyper-pyramid; Linear programming; Linear system; Positive linear system; Reachable set; TIME-DELAY SYSTEMS; DISSIPATIVITY THEORY; DYNAMICAL-SYSTEMS; STABILITY; DESIGN;

D O I：

10.1016/j.automatica.2016.07.048

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 focuses on positive linear time-invariant systems with constant coefficients and specific exogenous disturbance. The problem of finding a hyper-pyramid to bound the set of the states that are reachable from the origin in the Euclidean space is addressed, subject to inputs whose (1, 1)-norm or (infinity, 1)-norm is bounded by a prescribed constant. The Lyapunov approach is applied and a bounding hyper-pyramid is obtained by solving a set of inequalities. Iterative procedures (with an adjustable parameter) for reducing the hyper-volume of the bounding hyper-pyramid for the reachable set are proposed. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：230 / 237

页数：8

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