TY - CHAP

T1 - Reducing uncertain systems and behaviors

AU - Beck, Carolyn

AU - Doyle, John

PY - 1996/12/1

Y1 - 1996/12/1

N2 - This paper discusses the relevance of Hankel matrices for uncertain system, mainly in the context of minimality, and discusses associated Hankel operators and the uses of such in computing lower bounds on system norms and for reduction. It defines Hankel matrices for uncertain systems in a manner similar to those define for formal power series. The so-called controllability and observability matrices for uncertain system for the construction of these Hankel matrices for uncertain system are used. It is shown that the singular values of the Hankel operators provide reasonable lower bounds for the system norm, but appear to be conservative for model reduction lower bounds.

AB - This paper discusses the relevance of Hankel matrices for uncertain system, mainly in the context of minimality, and discusses associated Hankel operators and the uses of such in computing lower bounds on system norms and for reduction. It defines Hankel matrices for uncertain systems in a manner similar to those define for formal power series. The so-called controllability and observability matrices for uncertain system for the construction of these Hankel matrices for uncertain system are used. It is shown that the singular values of the Hankel operators provide reasonable lower bounds for the system norm, but appear to be conservative for model reduction lower bounds.

UR - http://www.scopus.com/inward/record.url?scp=0030417399&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030417399&partnerID=8YFLogxK

M3 - Chapter

AN - SCOPUS:0030417399

T3 - Proceedings of the IEEE Conference on Decision and Control

BT - Proceedings of the IEEE Conference on Decision and Control

A2 - Anon, null

T2 - Proceedings of the 1996 35th IEEE Conference on Decision and Control. Part 3 (of 4)

Y2 - 11 December 1996 through 13 December 1996

ER -