On the Zeros of Blocked Systems Resulting From Blocking of Linear Systems
Mr. Zamani (The Australian National University)
SYSTEMS AND CONTROL SERIESDATE: 2011-10-21
TIME: 11:00:00 - 12:00:00
LOCATION: RSISE Seminar Room, ground floor, building 115, cnr. North and Daley Roads, ANU
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ABSTRACT:
In this talk we study the zero properties of tall blocked systems resulting from blocking of linear systems. Here, we only focus on two subclasses of linear systems, linear time-invariant systems and linear systems with multi-rate outputs. Firstly, the zero properties of blocked systems resulting from blocking of linear time-invariant systems are introduced. In particular, an explicit relation between the system matrix of the unblocked linear systems and that of their corresponding blocked systems is demonstrated. It is shown that under the genericity assumption tall blocked systems are zero-free. Secondly, attention is given to systems with multi-rate outputs and their corresponding blocked systems. It is illustrated that when tall blocked systems can be zero-free and when they always have zero at infinity and the origin.
BIO:
Mohsen received his Bachelor degree in Electrical Engineering from Shiraz University of Technology, Iran. Then he did his master study in Electrical and Computer Engineering Department, National University of Singapore. He is now working towards his PhD under the supervision of Prof. B. D. O. Anderson at Research School of Engineering, Australian National University. His research interests include econometrics modelling and linear systems theory.
