Journal
IEEE TRANSACTIONS ON AUTOMATIC CONTROL
Volume 55, Issue 2, Pages 469-473Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TAC.2009.2036335
Keywords
Balanced truncation; linear time-periodic systems; model reduction
Funding
- AFOSR [FA9550-05-1-0369]
- National Science Foundation (NSF) [CMS-0347239]
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We introduce an algorithm based on a method of snapshots for computing approximate balanced truncations for discrete-time, linear time-periodic systems. The algorithm is applicable to stable (including neutrally stable) systems with very high dimension, allowing either the output or the input to be very high dimensional, as well. This algorithm is illustrated with a numerical example.
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