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IMA Journal of Mathematical Control and Information 1989 6(3):317-332; doi:10.1093/imamci/6.3.317
© 1989 by Institute of Mathematics and its Applications
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Triangular Decoupling and Stabilization for Linear Control Systems in Hilbert Spaces

HIROSHI INABA and NAOHISA OTSUKA

Department of Information Sciences, Tokyo Denki University Hatoyama-Machi, Hiki-Gun, Saitama 350-03, Japan

In the so-called geometric approach, a Hilbert-space version of the problem of triangular decoupling by state feedback is studied. First, under certain assumptions, necessary and sufficient conditions for the problem to be solvable are presented. Then, its stabilization problem is investigated. Finally, a triangular decoupling by incomplete state feedback is studied briefly, and some sufficient conditions for its solvability are obtained.


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