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Structural analysis of robust control systems

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2 Author(s)
K. Tsumura ; Dept. of Inf. Sci., Tokyo Univ., Japan ; M. Kitamura

In this paper, a necessary and sufficient condition for well-posedness is presented using the inclusion condition of uncertainty, and a set of all the systems corresponding to the uncertainty with which a closed-loop system is well-posed is given. Furthermore, we analyze the topology of the set of systems based on the well-posedness property. We give the number of connected components in the set of uncertainty in the cases of complex matrix uncertainty and 2×2 real matrix uncertainty

Published in:

IEEE Transactions on Automatic Control  (Volume:47 ,  Issue: 1 )