State response for continuous-time antilinear systems

Ai Guo Wu; Ying Zhang; Wanquan Liu; Victor Sreeram

doi:10.1049/iet-cta.2014.0734

State response for continuous-time antilinear systems

Ai Guo Wu
, Ying Zhang
, Wanquan Liu^*
, Victor Sreeram

^*Corresponding author for this work

Harbin Institute of Technology Shenzhen
Curtin University
University of Western Australia

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

Abstract

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 antiexponential function, which will be useful for numerical implementation.

Original language	English
Pages (from-to)	1238-1244
Number of pages	7
Journal	IET Control Theory and Applications
Volume	9
Issue number	8
DOIs	https://doi.org/10.1049/iet-cta.2014.0734
State	Published - 15 May 2015
Externally published	Yes

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10.1049/iet-cta.2014.0734

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title = "State response for continuous-time antilinear systems",

abstract = "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 antiexponential function, which will be useful for numerical implementation.",

author = "Wu, \{Ai Guo\} and Ying Zhang and Wanquan Liu and Victor Sreeram",

note = "Publisher Copyright: {\textcopyright} 2015 The Institution of Engineering and Technology.",

year = "2015",

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doi = "10.1049/iet-cta.2014.0734",

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AU - Wu, Ai Guo

AU - Zhang, Ying

AU - Liu, Wanquan

AU - Sreeram, Victor

PY - 2015/5/15

Y1 - 2015/5/15

N2 - 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 antiexponential function, which will be useful for numerical implementation.

AB - 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 antiexponential function, which will be useful for numerical implementation.

UR - https://www.scopus.com/pages/publications/84929623031

U2 - 10.1049/iet-cta.2014.0734

DO - 10.1049/iet-cta.2014.0734

M3 - 文章

AN - SCOPUS:84929623031

SN - 1751-8644

VL - 9

SP - 1238

EP - 1244

JO - IET Control Theory and Applications

JF - IET Control Theory and Applications

IS - 8

ER -

State response for continuous-time antilinear systems

Abstract

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