This paper proves the invariance of the second-order modes of continuous-time systems under general frequency transformation, that is, under reactance function. The invariance is proved by obtaining the state-space representation of the transformed system, and its controllability / observability grammians in terms of those of the original system and the reactance system. This invariance property is parallel to that of discrete-time systems such as digital filters proved by Mullis and Roberts.
|Journal||Proceedings - IEEE International Symposium on Circuits and Systems|
|Publication status||Published - 2003 Jul 14|
|Event||Proceedings of the 2003 IEEE International Symposium on Circuits and Systems - Bangkok, Thailand|
Duration: 2003 May 25 → 2003 May 28
ASJC Scopus subject areas
- Electrical and Electronic Engineering