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Small-μ theorems with frequency-dependent uncertainty bounds
Authors:A L Tits  V Balakrishnan
Affiliation:(1) Department of Electrical Engineering and Institute for Systems Research, University of Maryland, 20742 College Park, Maryland, U.S.A.;(2) School of Electrical and Computer Engineering, Purdue University, 47907-1285 West Lafayette, Indiana, U.S.A.
Abstract:We present conditions, some necessary and some sufficient, valid under weak assumptions, 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. Small-μ theorems with frequency-independent uncertainty bounds are recovered as special cases. This research was in part supported by NSF’s Engineering Research Center No. NSFD-CDR-88-03012, and in part by the Office of Naval Research under Contract No. N00014-97-1-0640.
Keywords:Robust stability  Uncertain systems  Robust control  Small-μ  theorem  Frequency-dependent uncertainty bounds
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