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June 1, 1997IEEE Transactions on Automatic Control1,533 citations

System analysis via integral quadratic constraints

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AMAlexandre MegretskiARAnders Rantzer

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Abstract

This paper introduces a unified approach to robustness analysis with respect to nonlinearities, time variations, and uncertain parameters. From an original idea by Yakubovich (1967), the approach has been developed under a combination of influences from the Western and Russian traditions of control theory. It is shown how a complex system can be described, using integral quadratic constraints (IQC) for its elementary components. A stability theorem for systems described by IQCs is presented that covers classical passivity/dissipativity arguments but simplifies the use of multipliers and the treatment of causality. A systematic computational approach is described, and relations to other methods of stability analysis are discussed. Last, but not least, the paper contains a summarizing list of IQCs for important types of system components.

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Cite This Study

Megretski et al. (1997) studied this question.

synapsesocial.com/papers/69d8e4ec17a1cc0598d18caahttps://doi.org/10.1109/9.587335
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