Abstract
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.
Original language | English |
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Journal | Proceedings - IEEE International Symposium on Circuits and Systems |
Volume | 1 |
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