A Generalized Zames-Falb Multiplier

@article{Materassi2011AGZ,
  title={A Generalized Zames-Falb Multiplier},
  author={Donatello Materassi and Murti V. Salapaka},
  journal={Proceedings of the 2011 American Control Conference},
  year={2011},
  pages={1990-1993}
}
Lur'e systems represent feedback interconnections of a Linear Time-Invariant system with a nonlinear operator. The Zames-Falb criterion is a powerful tool to determine the stability of a Lur'e system when the nonlinear operator is defined by a monotonic, odd and single-valued function. The article provides a generalization of the Zames-Falb criterion for the analysis of stability of a Lur'e system for nonlinear static operators that are “approximately” monotonic and odd. This result extends the… CONTINUE READING
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On the theory of stability of control systems

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  • Prikl. Mat. Mech., vol. 8, pp. 246–248, 1944.
  • 1944
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