Robust stability with time-varying structured uncertainty

Shamma J.S.

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Robust stability with time-varying structured uncertainty

机译：具有时变结构不确定性的强大稳定性

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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

机译：考虑在存在块对角结构的时变动态不确定性的情况下评估鲁棒稳定性的问题。结果表明，只有在存在导致小增益条件的恒定缩放比例时，鲁棒稳定性才成立。这里的稳定性概念是对有限能量信号的有限增益稳定性。与时变动态不确定性情况形成鲜明对比的是，该结果不受不确定性块数的限制。这些结果与先前关于持续有界信号的有限增益稳定性的结果相似

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《IEEE Transactions on Automatic Control》 |1994年第4期|p.714-724|共11页
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Shamma J.S.;
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Robust stability with time-varying structured uncertainty

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