Controllability and stability of discrete-time antilinear systems

Author

Ai-guo Wu ; Guang-Ren Duan ; Wanquan Liu ; Sreeram, Victor

Author_Institution

Shenzhen Grad. Sch., Harbin Inst. of Technol., Shenzhen, China

fYear

2013

fDate

4-5 Nov. 2013

Firstpage

403

Lastpage

408

Abstract

In this paper, the discrete-time antilinear systems are investigated. Firstly, a closed-form expression for the state response of discrete-time antilinear systems is established. Secondly, the concepts of reachability and controllability are proposed for discrete-time antilinear systems. With the closed-form expression of the state reponse as tools, anti-Gram criteria for reachability are given. In addition, a matrix rank criteria for reachability and controllability is given for time-invariant antilinear systems. In addition, an anti-Lyapnov equation approach is given to check the stability of the time-invariant antilinear systems.

Keywords

controllability; discrete time systems; reachability analysis; stability; anti-Gram criteria; anti-Lyapnov equation approach; closed-form expression; controllability; discrete-time antilinear systems; matrix rank criteria; reachability; stability; time-invariant antilinear systems; Australia; Controllability; Educational institutions; Equations; Linear systems; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (AUCC), 2013 3rd Australian

Conference_Location

Fremantle, WA

Print_ISBN

978-1-4799-2497-4

Type

conf

DOI

10.1109/AUCC.2013.6697307

Filename

6697307