Robust stability analysis using LMIs: Beyond small gain and passivity

@inproceedings{Gupta1996RobustSA,
  title={Robust stability analysis using LMIs: Beyond small gain and passivity},
  author={Sandeep Gupta},
  year={1996}
}
A class of linear, time-invariant (LTI) systems, referred to as β-bounded LTI systems, which constrain both the gain and the phase of an LTI system, is introduced in this paper. This characterization corresponds to gain bounded systems, or bounded real systems, for β = 1, and it corresponds to phase bounded, positive real systems for β = 0. State space characterization of β-bounded LTI systems is presented in terms of linear matrix inequalities (LMIs), similar to the LMIs for bounded realness… CONTINUE READING

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