@inproceedings{c2ea403b7eb845d8822a52130947a791,
title = "Controllability and observability of fractional linear systems with multiple different orders",
abstract = "In this paper, we study the controllability and observability for fractional linear systems with multiple different orders. The controllability and observability Gramian matrix of the system are obtained respectively. Based on non-singularity of the Gramian matrices, the necessary and sufficient conditions that the systems is controllable or observable are obtained. Some existing results on controllability and observability are extended to the case of multi-order fractional linear systems. The results obtained will be important in the research field of fractional dynamical systems.",
keywords = "Gramian matrix, controllability, fractional linear systems, multiple different orders, observability",
author = "Dengguo Xu and Qinglin Wang and Yuan Li",
note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016 ; Conference date: 11-11-2016 Through 13-11-2016",
year = "2017",
month = jan,
day = "3",
doi = "10.1109/YAC.2016.7804905",
language = "English",
series = "Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "286--291",
booktitle = "Proceedings - 2016 31st Youth Academic Annual Conference of Chinese Association of Automation, YAC 2016",
address = "United States",
}