Stability Analysis With Dissipation Inequalities and Integral Quadratic Constraints

@article{Seiler2015StabilityAW,
  title={Stability Analysis With Dissipation Inequalities and Integral Quadratic Constraints},
  author={Peter Seiler},
  journal={IEEE Transactions on Automatic Control},
  year={2015},
  volume={60},
  pages={1704-1709}
}
This technical note considers the stability of a feedback connection of a known linear, time-invariant system and a perturbation. The input/output behavior of the perturbation is described by an integral quadratic constraint (IQC). IQC stability theorems can be formulated in the frequency domain or with a time-domain dissipation inequality. The two approaches are connected by a non-unique factorization of the frequency domain IQC multiplier. The factorization must satisfy two properties for the… CONTINUE READING
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