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Many techniques originally developed in the context of deterministic control theory have been recently applied to the quest for optimal protocols in stochastic processes. Given a system subject to environmental fluctuations, one may ask…

Statistical Mechanics · Physics 2025-01-15 Dario Lucente , Alessandro Manacorda , Andrea Plati , Alessandro Sarracino , Marco Baldovin

We consider a stochastic control problem where the set of strict (classical) controls is not necessarily convex and the the variable control has two components, the first being absolutely continuous and the second singular. The system is…

Probability · Mathematics 2008-12-20 Seid Bahlali

There is much disagreement concerning how best to control global carbon emissions. We explore quantitatively how different control schemes affect the collective emission dynamics of a population of emitting entities. We uncover a complex…

Physics and Society · Physics 2011-07-12 Zhenyuan Zhao , Dan Fenn , Pak Ming Hui , Neil F. Johnson

Transitioning to a Circular Economy requires policies to drive sustainable practices. This study proposes a bilevel optimization framework to evaluate the combined use of carbon taxes and subsidies in promoting circular supply chains under…

Optimization and Control · Mathematics 2026-04-03 Paola Munoz Briones , Meng-Lin Tsai , Styliani Avraamidou

Greenhouse gas emissions from the residential sector represent a significant fraction of global emissions. Governments and utilities have designed incentives to stimulate the adoption of decarbonization technologies such as rooftop PV and…

Computers and Society · Computer Science 2025-02-14 Anupama Sitaraman , Adam Lechowicz , Noman Bashir , Xutong Liu , Mohammad Hajiesmaili , Prashant Shenoy

We consider an illiquid financial market with different regimes modeled by a continuous-time finite-state Markov chain. The investor can trade a stock only at the discrete arrival times of a Cox process with intensity depending on the…

Portfolio Management · Quantitative Finance 2012-04-26 Paul Gassiat , Fausto Gozzi , Huyên Pham

Non-smooth dynamics driven by stochastic disturbance arise in a wide variety of engineering problems. Impulsive interventions are often employed to control stochastic systems; however, the modeling and analysis subject to execution delay…

Optimization and Control · Mathematics 2021-01-19 Hidekazu Yoshioka , Yuta Yaegashi

Due to the limited predictability of wind power and other stochastic generation, trading this energy in competitive electricity markets is challenging. This paper derives revenue-maximising and risk-constrained strategies for stochastic…

General Finance · Quantitative Finance 2018-05-31 Jethro Browell

This paper proposes a control strategy for a Reverse Fuel Cell used to manage a Renewable Energy Community. A two-stage scenario-based Model Predictive Control algorithm is designed to define the best economic strategy to be followed during…

Optimization and Control · Mathematics 2022-08-31 Francesco Conte , Gabriele Mosaico , Gianluca Natrella , Matteo Saviozzi , Fiammetta Rita Bianchi

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

We discuss an incentivizing market and model-based approach to design the energy management and control systems which realize high-quality ancillary services in dynamic power grids. Under the electricity liberalization, such incentivizing…

Systems and Control · Computer Science 2019-01-01 Yasuaki Wasa , Kenji Hirata , Kenko Uchida

Motivated by the applications, a class of optimal control problems is investigated, where the goal is to influence the behavior of a given population through another controlled one interacting with the first. Diffusive terms accounting for…

Optimization and Control · Mathematics 2023-03-10 Stefano Almi , Marco Morandotti , Francesco Solombrino

As electrical generation becomes more distributed and volatile, and loads become more uncertain, controllability of distributed energy resources (DERs), regardless of their ownership status, will be necessary for grid reliability. Grid…

Systems and Control · Electrical Eng. & Systems 2024-10-22 Adam Lechowicz , Joshua Comden , Andrey Bernstein

This study suggests a novel two-stage Mixed-Integer Nonlinear Programming model considering uncertainty related to implementation of carbon dioxide emission regulatory policies, which are carbon trading and emission taxing and can change…

Optimization and Control · Mathematics 2025-02-03 Handan Akülker , Burak Alakent , Erdal Aydin

The energetic optimization problem, e.g., searching for the optimal switch- ing protocol of certain system parameters to minimize the input work, has been extensively studied by stochastic thermodynamics. In current work, we study this…

Statistical Mechanics · Physics 2010-01-07 Linchen Gong , Ming Li , Zhong-can Ou-yang

Prosocial incentive can promote cooperation, but providing incentive is costly. Institutions in human society may prefer to use an incentive strategy which is able to promote cooperation at a reasonable cost. However, thus far few works…

Physics and Society · Physics 2019-09-04 Shengxian Wang , Xiaojie Chen , Attila Szolnoki

This paper considers a stochastic production planning problem with regime switching. There are two regimes corresponding to different economic cycles. A factory is planning its production so as to minimize production costs. We analyze this…

Optimization and Control · Mathematics 2021-01-26 Elena Cristina Canepa , Dragos-Patru Covei , Traian A. Pirvu

Decisions for a variable renewable resource generators commitment in the energy market are typically made in advance when little information is obtainable about wind availability and market prices. Much research has been published…

Optimization and Control · Mathematics 2021-03-09 Razan A. H. Al-Lawati , Jose L. Crespo-Vazquez , Tasnim Ibn Faiz , Xin Fang , Md. Noor-E-Alam

This paper examines the objective of optimally harvesting a single species in a stochastic environment. This problem has previously been analyzed in Alvarez (2000) using dynamic programming techniques and, due to the natural payoff…

Optimization and Control · Mathematics 2016-08-02 Richard H. Stockbridge , Chao Zhu

Living systems often function with regulatory interactions, but the question of how activity, stochasticity and regulations work together for achieving different goals still remains puzzling. We propose a stochastic model of an active…

Soft Condensed Matter · Physics 2026-03-02 Tai Han , Fanlong Meng