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On the robust stability of linear time-invariant plants with unstructured uncertainty

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3 Author(s)
P. Khargonekar ; University of Minnesota, Minneapolis, MN ; T. Georgiou ; A. Pascoal

We consider general families of linear time-invariant plants described by a nominal plant model with unstructured uncertainty. We show, under a rather weak assumption, that when a family of systems is not robustly stabilizable by any linear time-invariant feedback controller, then no nonlinear time-varying controller can robustly stabilize the given family.

Published in:

IEEE Transactions on Automatic Control  (Volume:32 ,  Issue: 3 )