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Controllability and stability of discrete-time antilinear systems

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Authors
Wu, A.
Duan, G.
Liu, Wan-Quan
Sreeram, V.
Date
2013
Type
Conference Paper

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Wu, Ai-Guo and Duan, Guang-Ren and Liu, Wanquan and Sreeram, Victor. 2013. Controllability and stability of discrete-time antilinear systems, in 3rd Australian Control Conference (AUCC), Nov 4-5 2013, pp. 403-408. Perth, WA: IEEE.
Source Title
2013 Australian Control Conference
Source Conference
AUCC 2013
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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.