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Control of quantum systems is a central element of high-precision experiments and the development of quantum technological applications. Control pulses that are typically temporally or spatially modulated are often designed based on…

Quantum Physics · Physics 2021-01-04 Frederic Sauvage , Florian Mintert

In this paper, we consider the problem of controlling a dynamical system such that its trajectories satisfy a temporal logic property in a given amount of time. We focus on multi-affine systems and specifications given as syntactically…

Systems and Control · Computer Science 2012-03-27 Ebru Aydin Gol , Calin Belta

We approach the development of models and control strategies of susceptible-infected-susceptible (SIS) epidemic processes from the perspective of marked temporal point processes and stochastic optimal control of stochastic differential…

Optimization and Control · Mathematics 2018-12-04 Lars Lorch , Abir De , Samir Bhatt , William Trouleau , Utkarsh Upadhyay , Manuel Gomez-Rodriguez

In this paper we present a dynamic programing approach to stochastic optimal control problems with dynamic, time-consistent risk constraints. Constrained stochastic optimal control problems, which naturally arise when one has to consider…

Optimization and Control · Mathematics 2015-11-24 Yin-Lam Chow , Marco Pavone

Understanding how to effectively control an epidemic spreading on a network is a problem of paramount importance for the scientific community. The ongoing COVID-19 pandemic has highlighted the need for policies that mitigate the spread,…

Populations and Evolution · Quantitative Biology 2021-09-14 Carlo Cenedese , Lorenzo Zino , Michele Cucuzzella , Ming Cao

In this paper a new framework has been applied to the design of controllers which encompasses nonlinearity, hysteresis and arbitrary density functions of forward models and inverse controllers. Using mixture density networks, the…

Optimization and Control · Mathematics 2018-01-09 Randa Herzallah

We consider a simple control problem in which the underlying dynamics depend on a parameter that is unknown and must be learned. We exhibit a control strategy which is optimal to within a multiplicative constant. While most authors find…

Optimization and Control · Mathematics 2021-09-15 Jacob Carruth , Maximilian F. Eggl , Charles Fefferman , Clarence W. Rowley , Melanie Weber

The uncontrolled proliferation of cancer cells and their interaction with healthy tissue poses a major challenge in oncology. This manuscript develops and analyzes mathematical models that describe tumor response to radiotherapy by…

In this paper, we present a method for optimal control synthesis of a plant that interacts with a set of agents in a graph-like environment. The control specification is given as a temporal logic statement about some properties that hold at…

Robotics · Computer Science 2012-09-06 Alphan Ulusoy , Tichakorn Wongpiromsarn , Calin Belta

This paper considers an optimal impulse control problem of dynamical systems generated by a flow. The performance criteria are total costs over the infinite time horizon. Apart from the main performance to be minimized, there are multiple…

Optimization and Control · Mathematics 2020-10-27 Alexey Piunovskiy , Yi Zhang

Optimal control of large particle systems with collective dynamics by few agents is a subject of high practical importance (e.g. in evacuation dynamics), but still limited mathematical basis. In particular the transition from discrete…

Optimization and Control · Mathematics 2016-10-06 Martin Burger , René Pinnau , Andreas Roth , Claudia Totzeck , Oliver Tse

Solving complex optimal control problems have confronted computational challenges for a long time. Recent advances in machine learning have provided us with new opportunities to address these challenges. This paper takes model predictive…

Optimization and Control · Mathematics 2022-07-21 Weinan E , Jiequn Han , Jihao Long

In this chapter, we focus on the problem of containing the spread of diseases taking place in both temporal and adaptive networks (i.e., networks whose structure `adapts' to the state of the disease). We specifically focus on the problem of…

Social and Information Networks · Computer Science 2019-03-19 Masaki Ogura , Victor M. Preciado

The main aim to build models capable of simulating the spreading of infectious diseases is to control them. And along this way, the key to find the optimal strategy for disease control is to obtain a large number of simulations of disease…

Social and Information Networks · Computer Science 2022-04-22 Ting Wang , Gui-Yun Li , Xin-Hui Li , Chi-Chun Zhou , Yuan-Yuan Wang , Li-Juan Li , Yan-Ting Yang

This paper introduces a novel approach to the optimal control of linear discrete-time systems subject to bounded disturbances. Our approach is based on the newly established duality between ellipsoidal approximations of reachable and hardly…

Systems and Control · Electrical Eng. & Systems 2024-09-20 Egor Dogadin , Alexey Peregudin , Dmitriy Shirokih

We analyze the optimal control of disease prevention and treatment in a basic SIS model. We develop a simple macroeconomic setup in which the social planner determines how to optimally intervene, through income taxation, in order to…

Theoretical Economics · Economics 2019-10-09 Davide La Torre , Tufail Malik , Simone Marsiglio

We present a control model for an octopus tentacle, based on the dynamics of an inextensible string with curvature constraints and curvature controls. We derive the equations of motion together with an appropriate set of boundary…

Optimization and Control · Mathematics 2018-11-21 Simone Cacace , Anna Chiara Lai , Paola Loreti

This paper analyses the optimal control of infectious disease propagation using a classic susceptible-infected-recovered (SIR) model characterised by permanent immunity and the absence of available vaccines. The control is performed over a…

Optimization and Control · Mathematics 2024-06-12 Rocío Balderrama , Mariana Inés Prieto , Constanza Sánchez de la Vega , Federico Vazquez

In the present work we deal with the existence of solutions for optimal control problems associated to transport equations. The behaviour of a population of individuals will be influenced by the presence of a population of control agents…

Analysis of PDEs · Mathematics 2022-05-19 S. Fagioli , A. Kaufmann , E. Radici

A common aspect of today's cyber-physical systems is that multiple optimization-based control tasks may execute in a shared processor. Such control tasks make use of online optimization and thus have large execution times; hence, their…

Optimization and Control · Mathematics 2022-03-14 Mehdi Hosseinzadeh , Bruno Sinopoli , Ilya Kolmanovsky , Sanjoy Baruah