Graphic interpretations of structural controllability for switched linear systems

Author

Liu, Xiaomeng ; Lin, Hai ; Chen, Ben M.

Author_Institution

Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore

fYear

2010

fDate

7-10 Dec. 2010

Firstpage

549

Lastpage

554

Abstract

This paper considers the controllability problem for switched linear systems. In particular, the structural controllability of switched linear systems is investigated. The structural controllability of switched linear systems is a generalization of the traditional controllability concept for dynamical systems, and purely based on the graphic topologies among state and input nodes. First, two kinds of graphic representations of switched linear systems are proposed. Second, several graph-theoretic characterizations of the structural controllability for switched linear systems are presented based on these two newly introduced graphs. Finally, the paper concludes with several illustrative examples and discussions of the results and future work.

Keywords

controllability; graph theory; linear systems; time-varying systems; graphic interpretation; graphic topology; structural controllability; switched linear system; Controllability; Graphics; Linear systems; Multiagent systems; Switches; Topology; colored union graph; structural controllability; switched linear system; union graph;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Automation Robotics & Vision (ICARCV), 2010 11th International Conference on

Conference_Location

Singapore

Print_ISBN

978-1-4244-7814-9

Type

conf

DOI

10.1109/ICARCV.2010.5707320

Filename

5707320