On the Kalman-Yakubovich-Popov lemma and the multidimensional models ∗

@inproceedings{Bachelier2007OnTK,
  title={On the Kalman-Yakubovich-Popov lemma and the multidimensional models ∗},
  author={Olivier Bachelier and Wojciech Paszke and Driss Mehdi},
  year={2007}
}
This paper focuses on Kalman-Yakubovich-Popov lemma for multidimensional systems described by Roesser model that possibly includes both continuous and discrete dynamics. It is shown that, similarly to the standard 1-D case, this lemma can be studied through the lens of S-procedure. Furthermore, by virtue of this lemma, we will examine robust stability, bounded and positive realness of multidimensional systems. 

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