Zames-Falb Multipliers for Quadratic Programming

@article{Heath2007ZamesFalbMF,
  title={Zames-Falb Multipliers for Quadratic Programming},
  author={William P. Heath and Adrian Wills},
  journal={IEEE Transactions on Automatic Control},
  year={2007},
  volume={52},
  pages={1948-1951}
}
In constrained linear model predictive control, a quadratic program must be solved on-line at each control step, and this constitutes a nonlinearity. If zero is a feasible point for this quadratic program then the resultant nonlinearity is sector bounded. We show that if the nonlinearity is static then it is also monotone and slope restricted; hence, we show the existence of Zames-Falb multipliers for such a nonlinearity. The multipliers may be used in a general and versatile analysis of the… CONTINUE READING

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