State response for continuous-time antilinear systems
- Author(s): Ai-Guo Wu 1 ; Ying Zhang 1 ; Wanquan Liu 2 ; Victor Sreeram 3
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View affiliations
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Affiliations:
1:
Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, People's Republic of China;
2: Department of Computing, Curtin University, Perth WA6102, Australia;
3: School of Electrical, Electronic and Computer Engineering, The University of West Australia, Perth, Australia
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Affiliations:
1:
Shenzhen Graduate School, Harbin Institute of Technology, Shenzhen 518055, People's Republic of China;
- Source:
Volume 9, Issue 8,
15 May 2015,
p.
1238 – 1244
DOI: 10.1049/iet-cta.2014.0734 , Print ISSN 1751-8644, Online ISSN 1751-8652
© The Institution of Engineering and Technology
Received
13/08/2013,
Accepted
24/10/2014,
Revised
18/09/2014,
Published
10/04/2015
In this study, the authors investigate the state response for continuous-time antilinear dynamical systems. First, they propose the concept of matrix anti-exponential function, and then derived some nice properties of this new function. With the matrix anti-exponential function as an effective tool, they obtain a closed-form expression for the state response of continuous-time antilinear systems. Finally, they derived an expression with finite terms for the proposed matrix anti-exponential function, which will be useful for numerical implementation.
Inspec keywords: continuous time systems; matrix algebra; linear systems
Other keywords: matrix anti-exponential function; state response; closed-form expression; continuous antilinear dynamic systems; continuous-time antilinear systems
Subjects: Linear algebra (numerical analysis); Linear control systems
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