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

  title={On the Kalman-Yakubovich-Popov lemma and the multidimensional models ∗},
  author={Olivier Bachelier and Wojciech Paszke and Driss Mehdi},
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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Publications referenced by this paper.
Showing 1-10 of 53 references

S-procedure in nonlinear control theory

  • V. A. Yakubovich
  • Vestnik Leningrad University,
  • 1971
Highly Influential
16 Excerpts

A discrete state-space model for linear image processing

  • R. P. Roesser
  • IEEE Transactions on Automatic Control,
  • 1975
Highly Influential
3 Excerpts

Control Systems Theory and Applications for Linear Repetitive Processes, volume 349 of Lecture Notes in Control and Information Sciences

  • E. Rogers, K. Ga lkowski, D. H. Owens
  • 2007
1 Excerpt

Kalman – Popov – Yakubovich lemma and the S - procedure : A historical essay

  • S. V. Gusev, A. L. Likhtarnikov
  • Automation and Remote Control
  • 2006

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