Analysis and synthesis of interconnected positive systems with external inputs

Yoshio Ebihara, Taiki Matsumura, Tomomichi Hagiwara, Dimitri Peaucelle, Denis Arzelier

Research output: Contribution to journalConference articlepeer-review

5 Citations (Scopus)


In this paper, we deal with an interconnected system constructed from positive subsystems and a nonnegative interconnection matrix. In particular, motivated by leader-follower-type formation control of multi-agent systems, we concentrate our attention on the case where external inputs are applied to the interconnected system. By analyzing the steady-state output of the interconnected system with respect to step and ramp inputs, respectively, we derive synthesis conditions on the interconnection matrix to achieve formation-control-oriented design objectives. We finally illustrate the usefulness of theoretical results via numerical simulation on time-head way control of vehicle platoons.

Original languageEnglish
Pages (from-to)161-166
Number of pages6
Issue number14
Publication statusPublished - Jul 1 2015
Externally publishedYes
Event8th IFAC Symposium on Robust Control Design, ROCOND 2015 - Bratislava, Slovakia
Duration: Jul 8 2015Jul 11 2015

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering


Dive into the research topics of 'Analysis and synthesis of interconnected positive systems with external inputs'. Together they form a unique fingerprint.

Cite this