A Graph-theoretic Approach to the Reach Control Problem

被引：0

作者：

Ornik, Melkior ^{[1
]}

Broucke, Mireille E. ^{[1
]}

机构：

[1] Univ Toronto, Dept Elect & Comp Engn, Toronto, ON, Canada

来源：

2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2017年

基金：

加拿大自然科学与工程研究理事会;

关键词：

REACHABILITY; SIMPLICES; SYSTEMS;

D O I：

暂无

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 establishes new necessary and sufficient conditions for the solvability of the Reach Control Problem (RCP). The RCP seeks to drive the trajectories of a control system defined on a simplex to leave this simplex through a predetermined facet. This paper takes a novel approach to the RCP, transforming it into a problem in positive system theory. Using the notions of Z-matrices and graph theory, this results in a number of new necessary and sufficient conditions for the solvability of the RCP. In parallel, we also examine open-loop equilibria in the RCP, and provide a number of necessary and sufficient conditions for their existence.

引用

页数：6

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