Minimal Realization Problems for Jump Linear Systems
Name
1809.05948.pdf
Description
Accepted version
Size
319.2 KB
Format
Adobe PDF
Checksum (MD5)
b9339e423804017d316710a3e2a801e7
Author(s)
Sarkar, Tuhin
Roozbehani, Mardavij
Dahleh, Munther A
Date Issued
December 2018
Journal
2018 IEEE Conference on Decision and Control (CDC)
Publisher
IEEE
Citation
Sarkar, T., et al. “Minimal Realization Problems for Jump Linear Systems.” 2018 IEEE Conference on Decision and Control (CDC), Miami Beach, Florida, USA, 17-19 December 2018, IEEE, 2018, pp. 5670–75.
Version
Author's final manuscript
Abstract
This paper addresses two fundamental problems in the context of jump linear systems (JLS). The first problem is concerned with characterizing the minimal state space dimension solely from input-output pairs and without any knowledge of the number of mode switches. The second problem is concerned with characterizing the number of discrete modes of the JLS. For the first problem, we develop a linear system theory based approach and construct an appropriate Hankel-like matrix. The rank of this matrix gives us the state space dimension. For the second problem we show that minimal number of modes corresponds to the minimal rank of a positive semi-definite matrix obtained via a non-convex formulation.
MIT Department
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Massachusetts Institute of Technology. Laboratory for Information and Decision Systems
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1109/cdc.2018.8618951
