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Robust stability with time-varying structured uncertainty

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1 Author(s)
Shamma, J.S. ; Dept. of Aerosp. Eng. & Eng. Mech., Texas Univ., Austin, TX, USA

Considers the problem of assessing robust stability in the presence of block-diagonally structured time-varying dynamic uncertainty. It is shown that robust stability holds only if there exist constant scalings which lead to a small gain condition. The notion of stability here is finite-gain stability over finite-energy signals. In sharp contrast to the case of time-invariant dynamic uncertainty, this result is not limited by the number uncertainty blocks. These results parallel previous results regarding finite-gain stability over persistent bounded signals

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Automatic Control, IEEE Transactions on  (Volume:39 ,  Issue: 4 )