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IMA Journal of Mathematical Control and Information 1990 7(2):125-141; doi:10.1093/imamci/7.2.125
© 1990 by Institute of Mathematics and its Applications
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Decoupling by State Feedback in Infinite-Dimensional Systems

NAOHISA OTSUKA, HIROSHI INABA and TAKAYUKI OIDE

Department of Information Sciences, Tokyo Denki University Hatoyama-Machi, Hiki-Gun, Saitama 350–03, Japan
NEC Corporation Shiba, Minatoku, Tokyo 105, Japan

This paper studies the decoupling problem in infinite-dimensional system using the so-called geometric approach of Wonham, and presents necessary and/or sufficient conditions for the problem to be solvable for various cases, including (a) the case for which the input operator B satisfies dim (Im B) = k, where k is the number of output blocks, and (b) the case for which the pre-input operator G satisfies rank G = m, where m is the dimension of the input space.


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