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The spread of COVID-19 has been thwarted in most countries through non-pharmaceutical interventions. In particular, the most effective measures in this direction have been the stay-at-home and closure strategies of businesses and schools.…

Physics and Society · Physics 2022-05-04 G. Dimarco , G. Toscani , M. Zanella

In this paper, we consider a time-optimal control problem with uncertainties. Dynamics of controlled object is expressed by crisp linear system of differential equations with fuzzy initial and final states. We introduce a notion of fuzzy…

Numerical Analysis · Computer Science 2011-03-18 Şahin Emrah Amrahov , Nizami Gasilov , Afet Golayoglu Fatullayev

In this paper, a novel distributed optimization framework has been proposed. The key idea is to convert optimization problems into optimal control problems where the objective of each agent is to design the current control input minimizing…

Optimization and Control · Mathematics 2025-04-01 Ziyuan Guo , Yue Sun , Yeming Xu , Liping Zhang , Huanshui Zhang

In this paper we design a novel class of online distributed optimization algorithms leveraging control theoretical techniques. We start by focusing on quadratic costs, and assuming to know an internal model of their variation. In this…

Optimization and Control · Mathematics 2026-01-21 Wouter J. A. van Weerelt , Nicola Bastianello

Control of an inflammatory immune response is still an ongoing research. Here, a strategy consisting of manipulating a pro and anti-inflammatory mediator is considered. Already existing and promising model-based techniques suffer…

Optimization and Control · Mathematics 2016-07-26 Ouassim Bara , Michel Fliess , Cédric Join , Judy Day , Seddik M. Djouadi

The control of ensembles of dynamical systems is an intriguing and challenging problem, arising for example in quantum control. We initiate the investigation of optimal control of ensembles of discrete-time systems, focusing on minimising…

Optimization and Control · Mathematics 2025-11-07 Christian Fiedler , Alessandro Scagliotti

We propose a model for the human immunodeficiency virus type 1 (HIV-1) infection with intracellular delay and prove the local asymptotical stability of the equilibrium points. Then we introduce a control function representing the efficiency…

Optimization and Control · Mathematics 2017-11-01 Filipe Rodrigues , Cristiana J. Silva , Delfim F. M. Torres , Helmut Maurer

We review recent results obtained to solve fractional order optimal control problems with free terminal time and a dynamic constraint involving integer and fractional order derivatives. Some particular cases are studied in detail. A…

Optimization and Control · Mathematics 2013-06-04 Shakoor Pooseh , Ricardo Almeida , Delfim F. M. Torres

Reaction-diffusion systems offer a powerful framework for understanding self-organized patterns in biological systems, yet controlling these patterns remains a significant challenge. As a consequence, we present a rigorous framework of…

Optimization and Control · Mathematics 2026-04-13 Mohamed Amine Ouchdiri , Hamza Faquir , Saad Benjelloun , Mohamed Adlene Maghenem , Irene Otero-Muras , Adnane Saoud

The control system in surgical robots must ensure patient safety and real time control. As such, all the uncertainties which could appear should be considered into an extended model of the plant. After such an uncertain plant is formed, an…

Robotics · Computer Science 2024-07-24 Vlad Mihaly , Iosif Birlescu , Mircea Şuşcă , Damien Chablat , Petru Dobra

The minimization of energy-like cost functionals is addressed in the context of optimal control problems. For a general class of dynamical systems, with possibly unstable and nonlinear free dynamics, it is shown that a sequence of solutions…

Optimization and Control · Mathematics 2022-12-06 Sérgio S. Rodrigues

In this paper, we propose a unified stochastic optimal control framework that integrates time-optimal control problems with classical stochastic optimal control formulations. Unlike conventional deterministic time-optimal control models,…

Optimization and Control · Mathematics 2025-10-21 Shuzhen Yang

In this paper, we study an optimal control problem for a macroscopic mechanical tumour model based on the phase field approach. The model couples a Cahn--Hilliard type equation to a system of linear elasticity and a reaction-diffusion…

Optimization and Control · Mathematics 2021-04-21 Harald Garcke , Kei Fong Lam , Andrea Signori

In this study, we consider an optimal control problem driven by a stochastic differential system with a stopping time terminal cost functional. We establish the stochastic maximum principle for this new kind of an optimal control problem by…

Optimization and Control · Mathematics 2018-12-11 Shuzhen Yang

This paper discusses the problem of assembly line control and introduces an optimal control formulation that can be used to improve the performance of the assembly line, in terms of cycle time minimization, resources' utilization, etc. A…

Optimization and Control · Mathematics 2020-10-01 Francesco Liberati , Andrea Tortorelli , Cesar Mazquiaran , Muhammad Imran , Martina Panfili

Although optimal control theory has been used for the theoretical study of anti-cancerous drugs scheduling optimization, with the aim of reducing the primary tumor volume, the effect on metastases is often ignored. Here, we use a previously…

Tissues and Organs · Quantitative Biology 2013-06-21 Sebastien Benzekry , Philip Hahnfeldt

This paper is concerned with a constrained stochastic linear-quadratic optimal control problem, in which the terminal state is fixed and the initial state is constrained to lie in a stochastic linear manifold. The controllability of…

Optimization and Control · Mathematics 2019-06-11 Xiuchun Bi , Jingrui Sun , Jie Xiong

Flocking behavior has attracted considerable attention in multi-agent systems. The structure of flocking has been predominantly studied through the application of artificial potential fields coupled with velocity consensus. These…

Optimization and Control · Mathematics 2020-08-21 Logan E. Beaver , Chris Kroninger , Andreas A. Malikopoulos

This article presents a constrained policy optimization approach for the optimal control of systems under nonstationary uncertainties. We introduce an assumption that we call Markov embeddability that allows us to cast the stochastic…

Optimization and Control · Mathematics 2026-05-11 Sungho Shin , François Pacaud , Emil Contantinescu , Mihai Anitescu

Optimal control under uncertainty is a prevailing challenge for many reasons. One of the critical difficulties lies in producing tractable solutions for the underlying stochastic optimization problem. We show how advanced approximate…

Machine Learning · Computer Science 2024-10-28 Joe Watson , Hany Abdulsamad , Rolf Findeisen , Jan Peters