Nonsmooth Lur’e Dynamical Systems in Hilbert Spaces

par Le Ba Khiet (Universidad de Chile)

vendredi 1 avr. 2016, 10:20 → 11:05 Europe/Paris

XLIM Salle X.203

In this talk, we study the well-posedness and stability analysis of set-valued Lur'e dynamical systems in infnite-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. On the other hand, this work generalizes the classical composition between a maximal monotone operator and a linear bounded mapping.