Small-mu Theorems with Frequency-Dependent Uncertainty Bounds
Small-mu Theorems with Frequency-Dependent Uncertainty Bounds
A. L. Tits and V. Balakrishnan
Mathematics of Control, Signals, and Systems, vol 11, no. 3, pages
220-243, 1998
Abstract:
We present conditions, some necessary and some sufficient,
for robust stability and uniform robust stability of
uncertain linear time-invariant systems with linear
time-invariant uncertainties that are block-diagonal,
with known frequency-dependent norm bounds on the
diagonal blocks. Under
stronger assumptions on the frequency dependence of the
uncertainty bound, we obtain necessary and sufficient
conditions.
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