State response for continuous‐time antilinear systems.

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. [ABSTRACT FROM AUTHOR]