43 citations · 149 across the 103 of their papers we have counts for
11 papers · 1 filter
Optimality conditions for a controlled sweeping process with applications to the crowd motion model
Tan H. Cao, Boris S. Mordukhovich
The paper concerns the study and applications of a new class of optimal control problems governed by a perturbed sweeping process of the hysteresis type with control functions acti…
Optimal control of a perturbed sweeping process via discrete discrete approximations
Tan H. Cao, Boris S. Mordukhovich
The paper addresses an optimal control problem for a perturbed sweeping process of the rate-independent hysteresis type described by a controlled "play and stop" operator with sepa…
Error Bounds for Parametric Polynomial Systems with Applications to Higher-Order Stability Analysis and Convergence Rates
G. Li, B. S. Mordukhovich, T. T. A. Nghia +1
The paper addresses parametric inequality systems described by polynomial functions in finite dimensions, where state-dependent infinite parameter sets are given by finitely many p…
Subdifferentials of Nonconvex Integral Functionals in Banach Spaces with Applications to Stochastic Dynamic Programming
Boris S. Mordukhovich, Nobusumi Sagara
The paper concerns the investigation of nonconvex and nondifferentiable integral functionals on general Banach spaces, which may not be reflexive and/or separable. Considering two…
Generalized differentiation of piecewise linear functions in second-order variational analysis
Boris S. Mordukhovich, M. Ebrahim Sarabi
The paper is devoted to a comprehensive second-order study of a remarkable class of convex extended-real-valued functions that is highly important in many aspects of nonlinear and…
Higher-Order Metric Subregularity and Its Applications
Boris Mordukhovich, Wei Ouyang
This paper is devoted to the study of metric subregularity and strong subregularity of any positive order for set-valued mappings in finite and infinite dimensions. While these…