Journal of Applied Mathematics
Volume 2009 (2009), Article ID 169790, 16 pages
Research Article

Generalized S(C,A,B)-Pairs for Uncertain Linear Infinite-Dimensional Systems

1Division of Science, School of Science and Engineering, Tokyo Denki University, Hatoyama-Machi, Hiki-Gun, Saitama 350-0394, Japan
2Department of Management and Information Sciences, Nagasaki Institute of Applied Science, Aba-Machi 536, Nagasaki 851-0193, Japan

Received 8 June 2009; Accepted 15 September 2009

Academic Editor: M. A. Petersen

Copyright © 2009 Naohisa Otsuka and Haruo Hinata. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We introduce the concept of generalized S(C,A,B)-pairs which is related to generalized S(A,B)-invariant subspaces and generalized S(C,A)-invariant subspaces for infinite-dimensional systems. As an application the parameter-insensitive disturbance-rejection problem with dynamic compensator is formulated and its solvability conditions are presented. Further, an illustrative example is also examined.