State response for continuous‐time antilinear systems. Issue 8 (1st May 2015)

• Record Type: Journal Article
• Authors: Wu, Ai‐Guo; Zhang, Ying; Liu, Wanquan; Sreeram, Victor
• Is Part Of: IET control theory & applications. Volume 9:Issue 8(2015)
• Page Start: 1238
• Page End: 1244
• Publication Date: 2015-05-01
• Subjects: continuous time systems -- linear systems -- matrix algebra; state response -- continuous‐time antilinear systems -- continuous antilinear dynamic systems -- matrix anti‐exponential function -- closed‐form expression; Control theory -- Periodicals; Automatic control -- Periodicals; 629.8312
• DOI: 10.1049/iet-cta.2014.0734
• Languages: English
• ISSNs: 1751-8644

Abstract

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 anti‐exponential function, which will be useful for numerical implementation.