Converse Theorems for Integral Quadratic Constraints
نویسندگان
چکیده
A collection of converse theorems for integral quadratic constraints (IQCs) is established linear time-invariant systems. It demonstrated that when a system interconnected in feedback with an arbitrary satisfying IQC stable, then the given must necessarily satisfy complementary IQC. These are specialized to derive multiple versions passivity results. They cover standard notions strict as well indices characterize tradeoffs between surplus and deficit. Converse frequency-weighted small-gain also established.
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ژورنال
عنوان ژورنال: IEEE Transactions on Automatic Control
سال: 2021
ISSN: ['0018-9286', '1558-2523', '2334-3303']
DOI: https://doi.org/10.1109/tac.2020.3024269