On Unilateral Constraints, Friction and Plasticity

By J. Moreau. 2011

212 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/809f185d4d9a92680be7ae7a9c9e5061f30f950f

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In Computational Theory and Mathematics

In Control and Systems Engineering

Citations in the corpus

Optimality conditions for a controlled sweeping process with applications to the crowd motion model (2015, background): “The characteristic feature of problem (Pτ) for any ﬁxed τ ∈ [0,τ] is the diﬀerential inclusion (1.2) describing, for each ﬁxed control pair (u(·),a(·)), a perturbed versionof Moreau’ssweeping process [21] the mathematical theory of which has been well developed; see, e.g., [9, 11, 14] and the refere”
Optimal control of the sweeping process over polyhedral controlled sets (2015, methodology): “m Formulation This paper is devoted to the study of the sweeping process, a class of models introduced by Jean-Jacques Moreau in the 1970s to describe a number of quasistatic mechanical problems; see [28, 30, 31] and the book [22] for more details. Besides the original motivations, models of this ty”
OPTIMAL CONTROL OF THE SWEEPING PROCESS (2012, background): “, [14] with the references to Moreau’s earlier work) and later has become an active research topic of its own interest; we refer the reader to [4, 10]”
On optimal control of a sweeping process coupled with an ordinary differential equation (2014, background): “was introduced (in its basic form) in [29] and then gradually generalized in a number of papers, e.”
Advances in Variational and Hemivariational Inequalities (2015, background): “([36]) Let p : Z → R and U = {x ∈ Z | p(x) ≤ 1}.”
Optimal Control Involving Sweeping Processes (2018, background): “Moreau in the seminal paper [16] and since then they have been the focus of considerable attention.”