期刊
OPTIMIZATION
卷 69, 期 6, 页码 1187-1217出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/02331934.2019.1686504
关键词
Differential inclusions; maximal monotone operators; state-dependent; Lur'e systems; sweeping processes
In this paper, we introduce a class of state-dependent maximal monotone differential inclusions. The existence and uniqueness of solutions are obtained by using an implicit discretization scheme and a kind of hypo-monotonicity assumption. In addition, a characterization for nonsmooth Lyapunov pairs associated with such systems is provided. Our result can be applied to study state-dependent sweeping processes and Lur'e dynamical systems. It is new even the involved maximal monotone operators depend only on the time.
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