Persistence Analysis of Discrete-Time Interconnected Positive Systems and its Application to Mobile Robot Formation

Shoya Tanabe; Hiroyuki Ichihara; Yoshio Ebihara; Dimitri Peaucelle

doi:10.1016/j.ifacol.2017.08.304

Persistence Analysis of Discrete-Time Interconnected Positive Systems and its Application to Mobile Robot Formation

Shoya Tanabe, Hiroyuki Ichihara, Yoshio Ebihara, Dimitri Peaucelle

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

This paper addresses the analysis of discrete-time interconnected systems where each subsystem is stable and positive. Admissibility and persistence notions are derived similar to the continuous-time case and a condition for enforcing persistence is derived for the case when all subsystems are single-input single output. Results are applied on numerical examples including the formation control of mobile robots.

Original language	English
Pages (from-to)	3105-3110
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	50
Issue number	1
DOIs	https://doi.org/10.1016/j.ifacol.2017.08.304
Publication status	Published - Jul 2017
Externally published	Yes

All Science Journal Classification (ASJC) codes

Control and Systems Engineering

Access to Document

10.1016/j.ifacol.2017.08.304

Cite this

@article{6b907353a1f14f85a65c13a7b9ebeb5f,

title = "Persistence Analysis of Discrete-Time Interconnected Positive Systems and its Application to Mobile Robot Formation",

abstract = "This paper addresses the analysis of discrete-time interconnected systems where each subsystem is stable and positive. Admissibility and persistence notions are derived similar to the continuous-time case and a condition for enforcing persistence is derived for the case when all subsystems are single-input single output. Results are applied on numerical examples including the formation control of mobile robots.",

author = "Shoya Tanabe and Hiroyuki Ichihara and Yoshio Ebihara and Dimitri Peaucelle",

note = "Funding Information: Πhis work was ffartly sufffforted Ψy JSPS KAKENHI Grant NuffiΨer 26420429. Publisher Copyright: {\textcopyright} 2017",

year = "2017",

month = jul,

doi = "10.1016/j.ifacol.2017.08.304",

language = "English",

volume = "50",

pages = "3105--3110",

journal = "IFAC-PapersOnLine",

issn = "2405-8963",

publisher = "IFAC Secretariat",

number = "1",

}

TY - JOUR

T1 - Persistence Analysis of Discrete-Time Interconnected Positive Systems and its Application to Mobile Robot Formation

AU - Tanabe, Shoya

AU - Ichihara, Hiroyuki

AU - Ebihara, Yoshio

AU - Peaucelle, Dimitri

PY - 2017/7

Y1 - 2017/7

N2 - This paper addresses the analysis of discrete-time interconnected systems where each subsystem is stable and positive. Admissibility and persistence notions are derived similar to the continuous-time case and a condition for enforcing persistence is derived for the case when all subsystems are single-input single output. Results are applied on numerical examples including the formation control of mobile robots.

AB - This paper addresses the analysis of discrete-time interconnected systems where each subsystem is stable and positive. Admissibility and persistence notions are derived similar to the continuous-time case and a condition for enforcing persistence is derived for the case when all subsystems are single-input single output. Results are applied on numerical examples including the formation control of mobile robots.

UR - http://www.scopus.com/inward/record.url?scp=85031777211&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85031777211&partnerID=8YFLogxK

U2 - 10.1016/j.ifacol.2017.08.304

DO - 10.1016/j.ifacol.2017.08.304

M3 - Article

AN - SCOPUS:85031777211

SN - 2405-8963

VL - 50

SP - 3105

EP - 3110

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 1

ER -

Persistence Analysis of Discrete-Time Interconnected Positive Systems and its Application to Mobile Robot Formation

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this