Well-posedness and nonsmooth Lyapunov pairs for state-dependent maximal monotone differential inclusions

DOI10.1080/02331934.2019.1686504zbMath1440.49011arXiv1903.01815OpenAlexW2984571565MaRDI QIDQ5110320

Ba Khiet Le

Publication date: 18 May 2020

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.01815

zbMATH Keywords

maximal monotone operatorsdifferential inclusionsLur'e systemsstate-dependentsweeping processes

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Stability of topological dynamical systems (37B25) Variational and other types of inclusions (47J22)

Related Items (15)

On a second-order functional evolution problem with time and state dependent maximal monotone operators ⋮ Existence Results for State-Dependent Maximal Monotone Differential Inclusions: Fixed Point Approach ⋮ A measure differential inclusion with time-dependent maximal monotone operators ⋮ Optimal control of an evolution problem involving time-dependent maximal monotone operators ⋮ Sliding mode observers for time-dependent set-valued Lur'e systems subject to uncertainties ⋮ Sliding mode observer for set-valued Lur'e systems and chattering removing ⋮ A minimization problem subject to a coupled system by maximal monotone operators ⋮ Existence solutions for a couple of differential inclusions involving maximal monotone operators ⋮ Invariant closed sets with respect to differential inclusions with time-dependent maximal monotone operators ⋮ Unnamed Item ⋮ Douglas-Rachford splitting algorithm for solving state-dependent maximal monotone inclusions ⋮ Unnamed Item ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ A control problem involving time and state-dependent maximal monotone operators via Young measures ⋮ Observer for differential inclusion systems with incremental quadratic constraints

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