Open AccessState response for continuous‐time antilinear systems
Author(s) -
Wu AiGuo,
Zhang Ying,
Liu Wanquan,
Sreeram Victor
Publication year - 2015
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2014.0734
Subject(s) - matrix exponential , function (biology) , matrix (chemical analysis) , exponential function , expression (computer science) , control theory (sociology) , matrix function , computer science , state transition matrix , state (computer science) , exponential growth , mathematics , mathematical optimization , algorithm , mathematical analysis , symmetric matrix , physics , artificial intelligence , control (management) , differential equation , eigenvalues and eigenvectors , materials science , quantum mechanics , evolutionary biology , composite material , biology , programming language
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.