Maximal monotonicity and cyclic monotonicity arising in nonsmooth Lur'e dynamical systems

DOI10.1016/j.jmaa.2016.11.025zbMath1358.47036OpenAlexW2551711074MaRDI QIDQ2374251

Samir Adly, Abderrahim Hantoute, Ba Khiet Le

Publication date: 14 December 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/232483

zbMATH Keywords

differential inclusionsLur'e systemsmaximal monotonicitypassivity conditionmaximal cyclic monotonicityprecomposition with linear operators

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Applications of operator theory in systems, signals, circuits, and control theory (47N70)

Related Items (7)

Unnamed Item ⋮ Sliding mode observers for time-dependent set-valued Lur'e systems subject to uncertainties ⋮ Analysis of the Implicit Euler Time-Discretization of Semiexplicit Differential-Algebraic Linear Complementarity Systems ⋮ Sliding mode observer for set-valued Lur'e systems and chattering removing ⋮ On a class of Lur'e dynamical systems with state-dependent set-valued feedback ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Well-posedness of nonsmooth Lurie dynamical systems involving maximal monotone operators

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