Galerkin-like Method and Generalized Perturbed Sweeping Process with Nonregular Sets

DOI10.1137/16M1078288zbMath1371.34103OpenAlexW2744054635MaRDI QIDQ5348129

Emilio Vilches, Abderrahim Jourani

Publication date: 14 August 2017

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/16m1078288

zbMATH Keywords

differential inclusionsnormal conesweeping processsecond-order sweeping processsubsmooth setspositively \(\alpha\)-far sets

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued and variational analysis (49J53) Theoretical approximation of solutions to ordinary differential equations (34A45) Ordinary differential inclusions (34A60) Evolution inclusions (34G25)

Related Items (10)

Nonsmooth dynamical systems: from the existence of solutions to optimal and feedback control ⋮ Moreau-Yosida regularization of degenerate state-dependent sweeping processes ⋮ A differential equation approach to evolutionary quasi-variational inequalities arising in contact problems ⋮ Second-order problems involving time-dependent subdifferential operators and application to control ⋮ A new class of generalized quasi-variational inequalities with applications to Oseen problems under nonsmooth boundary conditions ⋮ Well-posedness of history/state-dependent implicit sweeping processes ⋮ A differential equation approach to implicit sweeping processes ⋮ Unnamed Item ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Existence and Lyapunov pairs for the perturbed sweeping process governed by a fixed set

Cites Work

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