Kuhn-Tucker-based stability conditions for systems with saturation

@article{Primlos2001KuhnTuckerbasedSC,
  title={Kuhn-Tucker-based stability conditions for systems with saturation},
  author={J. A. Primlos and Marco Giannelli},
  journal={IEEE Trans. Automat. Contr.},
  year={2001},
  volume={46},
  pages={1643-1647}
}
This paper presents a new approach to deriving stability conditions for continuous-time linear systems interconnected with a saturation. By representing the saturation as a constrained optimization problem, the necessary (Kuhn-Tucker) conditions for optimality are used to derive linear and quadratic constraints which characterize the saturation. After selecting a candidate Lyapunov function, we pose the question of whether the Lyapunov function is decreasing along trajectories of the system as… CONTINUE READING

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