Nonsmooth Lur’e Dynamical Systems in Hilbert Spaces

@article{Adly2016NonsmoothLD,
  title={Nonsmooth Lur’e Dynamical Systems in Hilbert Spaces},
  author={Samir Adly and Abderrahim Hantoute and Ba Khiet Le},
  journal={Set-Valued and Variational Analysis},
  year={2016},
  volume={24},
  pages={13-35}
}
In this paper, we study the well-posedness and stability analysis of set-valued Lur’e dynamical systems in infinite-dimensional Hilbert spaces. The existence and uniqueness results are established under the so-called passivity condition. Our approach uses a regularization procedure for the term involving the maximal monotone operator. The Lyapunov stability as well as the invariance properties are considered in detail. In addition, we give some sufficient conditions ensuring the robust… CONTINUE READING
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