1 citations · 1 across the 14 of their papers we have counts for
16 papers
Optimization of a Perturbed Implicit Sweeping Process by Constrained Discontinuous Controls
Yen Dang, Boris S. Mordukhovich, Dao Nguyen
This paper studies optimal control problems governed by an implicit sweeping process with velocity-dependent constraint geometry, where the dynamics are described by a differential…
Inexact DC Algorithms in Hilbert Spaces with Applications to PDE-Constrained Optimization
P. D. Khanh, V. V. H. Khoa, B. S. Mordukhovich +2
In this paper, we design and apply novel inexact adaptive algorithms to deal with minimizing difference-of-convex (DC) functions in Hilbert spaces. We first introduce I-ADCA, an in…
Complete Characterizations of Well-Posedness in Parametric Composite Optimization
Boris S. Mordukhovich, Peipei Tang, Chengjing Wang
This paper characterizes the well-posedness of Karush-Kuhn-Tucker system for perturbed composite optimization. Using the parabolic regularity, we introduce a novel second-order var…
Regularized Multiobjective Optimization with Directionally Lipschitzian Data
G. C. Bento, J. X. Cruz Neto, J. O. Lopes +2
The paper is devoted to the study of regularized versions of multiobjective optimization problems described by directionally Lipschitzian functions. Such regularizations appear in…
New Location Science Models with Applications to UAV-Based Disaster Relief
Sina Kazemdehbashi, Yanchao Liu, Boris S. Mordukhovich
Natural and human-made disasters can cause severe devastation and claim thousands of lives worldwide. Therefore, developing efficient methods for disaster response and management i…
Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method
Pham Duy Khanh, Boris Mordukhovich, Dat Ba Tran
This paper introduces a novel inexact gradient descent method with momentum (IGDm) considered as a general framework for various first-order methods with momentum. This includes, i…
Extended SQP Methods in Nonsmooth Difference Programming Applied to Problems with Variational Inequality Constraints
Boris S. Mordukhovich, Yixia Song, Shangzhi Zeng +1
This paper explores a new class of constrained difference programming problems, where the objective and constraints are formulated as differences of functions, without requiring th…
Optimal Control of Nonconvex Sweeping Processes with Variable Time via Finite-Difference Approximations
Tan H. Cao, Boris S. Mordukhovich, Dao Nguyen +2
The paper is devoted to the study of a new class of optimal control problems for nonsmooth dynamical systems governed by nonconvex discontinuous differential inclusions of the swee…
Characterizations of Variational Convexity and Tilt Stability via Quadratic Bundles
Pham Duy Khanh, Boris S. Mordukhovich, Vo Thanh Phat +1
In this paper, we establish characterizations of variational -convexity and tilt stability for prox-regular functions in the absence of subdifferential continuity via quadratic…
An Inexact Boosted Difference of Convex Algorithm for Nondifferentiable Functions
Orizon P. Ferreira, Boris S. Mordukhovich, Wilkreffy M. S. Santos +1
In this paper, we introduce an inexact approach to the Boosted Difference of Convex Functions Algorithm (BDCA) for solving nonconvex and nondifferentiable problems involving the di…
Well-posedness and Stability of Discrete Approximations for Controlled Sweeping Processes with Time Delay
Boris Mordukhovich, Dao Nguyen, Trang Nguyen +2
This paper addresses, for the first time in the literature, optimal control problems for dynamic systems governed by a novel class of sweeping processes with time delay. We establi…
Coderivative-Based Newton Methods with Wolfe Linesearch for Nonsmooth Optimization
Miantao Chao, Boris S. Mordukhovich, Zijian Shi +1
This paper introduces and develops novel coderivative-based Newton methods with Wolfe linesearch conditions to solve various classes of problems in nonsmooth optimization. We first…
Optimal control of perturbed sweeping processes with applications to general robotics models
Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen +2
This paper primarily focuses on the practical applications of optimal control theory for perturbed sweeping processes within the realm of robotics dynamics. By describing these mod…
Regular Subgradients of Marginal Functions with Applications to Calculus and Bilevel Programming
Le Phuoc Hai, Felipe Lara, Boris S. Mordukhovich
The paper addresses the study and applications of a broad class of extended-real-valued functions, known as optimal value or marginal functions, which are frequently appeared in va…
Optimal control of sweeping processes in unmanned surface vehicle and nanoparticle modeling
Boris S. Mordukhovich, Dao Nguyen, Trang Nguyen
This paper addresses novel applications to practical modeling of the newly developed theory of necessary optimality conditions in controlled sweeping/Moreau processes with free tim…
Relative Well-Posedness of Truncated Constrained Systems Accompanied by Variational Calculus
Boris S. Mordukhovich, Pengcheng Wu, Xiaoqi Yang
The paper concerns foundations of sensitivity and stability analysis in optimization and related areas, being primarily addressed truncated constrained systems. We consider general…