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This work investigates the distributed constrained optimization problem under inter-agent communication delays from the perspective of passivity. First, we propose a continuous-time algorithm for distributed constrained optimization with…

Optimization and Control · Mathematics 2022-05-02 Mengmou Li , Shunya Yamashita , Takeshi Hatanaka , Graziano Chesi

In this work, we propose an event-triggered con- trol framework for dynamical systems with temporal logical constraints. Event-triggered control methodologies have proven to be very efficient in reducing sensing, communication and…

Robotics · Computer Science 2018-02-28 Dipankar Maity , John S. Baras

In this paper, we investigate optimal control problems governed by semilinear elliptic variational inequalities involving constraints on the state, and more precisely the obstacle problem. Since we adopt a numerical point of view, we first…

Optimization and Control · Mathematics 2020-07-10 El Hassene Osmani , Mounir Haddou , Naceurdine Bensalem

Integer programming with block structures has received considerable attention recently and is widely used in many practical applications such as train timetabling and vehicle routing problems. It is known to be NP-hard due to the presence…

Optimization and Control · Mathematics 2024-07-01 Rui Wang , Chuwen Zhang , Shanwen Pu , Jianjun Gao , Zaiwen Wen

This paper presents a hybrid optimization methodology for parameter estimation of reactive transport systems. Using reduced-order advection-diffusion-reaction (ADR) models, the computational requirements of global optimization with dynamic…

Optimization and Control · Mathematics 2025-12-16 Marcus Johan Schytt , Halldór Gauti Pétursson , John Bagterp Jørgensen

The accurate prediction of smooth steering inputs is crucial for automotive applications because control actions with jitter might cause the vehicle system to become unstable. To address this problem in automobile lane-keeping control…

Computer Vision and Pattern Recognition · Computer Science 2024-12-18 Der-Hau Lee

In this paper, we investigate optimal boundary control problems for Cahn-Hilliard variational inequalities with a dynamic boundary condition involving double obstacle potentials and the Laplace-Beltrami operator. The cost functional is of…

Analysis of PDEs · Mathematics 2014-09-29 Pierluigi Colli , M. Hassan Farshbaf-Shaker , Gianni Gilardi , Jürgen Sprekels

A data-driven procedure for identifying the dominant transport barriers in a time-varying flow from limited quantities of Lagrangian data is presented. Our approach partitions state space into pairs of coherent sets, which are sets of…

Fluid Dynamics · Physics 2015-07-28 Matthew O. Williams , Irina I. Rypina , Clarence W. Rowley

This work deals with a numerical method for solving a mean-field type control problem with congestion. It is the continuation of an article by the same authors, in which suitably defined weak solutions of the system of partial differential…

Analysis of PDEs · Mathematics 2016-11-08 Yves Achdou , Mathieu Lauriere

In this paper, we propose a trajectory optimization for computing smooth collision free trajectories for nonholonomic curvature bounded vehicles among static and dynamic obstacles. One of the key novelties of our formulation is a hierarchal…

Despite the extensive application of nonlinear Model Predictive Control (MPC) in automated driving, balancing its computational efficiency with respect to the control performance and constraint satisfaction remains a challenge in emergency…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Leila Gharavi , Bart De Schutter , Simone Baldi

This paper focuses on integrating the networks and adversarial training into constrained optimization problems to develop a framework algorithm for constrained optimization problems. For such problems, we first transform them into minimax…

Optimization and Control · Mathematics 2024-07-08 Gang Bao , Dong Wang , Boyi Zou

We develop a dynamic trading strategy in the Linear Quadratic Regulator (LQR) framework. By including a price mean-reversion signal into the optimization program, in a trading environment where market impact is linear and stage costs are…

Statistics Theory · Mathematics 2021-11-04 Simon Clinet , Jean-François Perreton , Serge Reydellet

Aerial manipulators (AM) exhibit particularly challenging, non-linear dynamics; the UAV and the manipulator it is carrying form a tightly coupled dynamic system, mutually impacting each other. The mathematical model describing these…

Robotics · Computer Science 2022-10-11 Paul Kremer , Jose Luis Sanchez-Lopez , Holger Voos

Traditional optimization-based planners, while effective, suffer from high computational costs, resulting in slow trajectory generation. A successful strategy to reduce computation time involves using Imitation Learning (IL) to develop fast…

Safety guarantees in motion planning for autonomous driving typically involve certifying the trajectory to be collision-free under any motion of the uncontrollable participants in the environment, such as the human-driven vehicles on the…

Robotics · Computer Science 2023-01-02 Fang Da

We propose an approach to solving constrained combinatorial optimization problems based on embedding the concept of Lagrangian duality into the framework of adiabatic quantum computation. Within the setting of circuit-model fault-tolerant…

Optimization and Control · Mathematics 2024-04-30 Einar Gabbassov , Gili Rosenberg , Artur Scherer

Consider a discrete-time Linear Quadratic Regulator (LQR) problem solved using policy gradient descent when the system matrices are unknown. The gradient is transmitted across a noisy channel over a finite time horizon using analog…

Optimization and Control · Mathematics 2025-07-22 Ashwin Verma , Aritra Mitra , Lintao Ye , Vijay Gupta

We propose an inexact proximal augmented Lagrangian framework with explicit inner problem termination rule for composite convex optimization problems. We consider arbitrary linearly convergent inner solver including in particular stochastic…

Optimization and Control · Mathematics 2019-09-23 Fei Li , Zheng Qu

This paper addresses a class of general nonsmooth and nonconvex composite optimization problems subject to nonlinear equality constraints. We assume that a part of the objective function and the functional constraints exhibit local…

Optimization and Control · Mathematics 2025-03-04 Lahcen El Bourkhissi , Ion Necoara , Panagiotis Patrinos , Quoc Tran-Dinh
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