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We study minimal time strategies for the treatment of pollution of large volumes, such as lakes or natural reservoirs, with the help of an autonomous bioreactor. The control consists in feeding the bioreactor from the resource, the clean…

最优化与控制 · 数学 2011-05-26 Pedro Gajardo , Jérôme Harmand , Hector Ramirez Cabrera , Alain Rapaport

In this paper we consider the minimum time population transfer problem for a two level quantum system driven by {\em two} external fields with bounded amplitude. The controls are modeled as real functions and we do not use the Rotating Wave…

最优化与控制 · 数学 2012-11-06 Ugo Boscain , Fredrik Grönberg , Long Ruixing , Rabitz Herschel

Dynamic flux balance analysis of a bioreactor is based on the coupling between a dynamic problem, which models the evolution of biomass, feeding substrates and metabolites, and a linear program, which encodes the metabolic activity inside…

最优化与控制 · 数学 2015-07-07 Roberta Ghezzi , Benedetto Piccoli

We address the question of optimization of the microalgal biomass long term productivity in the framework of production in photobioreactors under the influence of day/night cycles. For that, we propose a simple bioreactor model accounting…

最优化与控制 · 数学 2012-04-16 Frédéric Grognard , Andrei R. Akhmetzhanov , Olivier Bernard

We revisit the optimal control problem of maximizing biogas production in continuous bio-processes in two directions: 1. over an infinite horizon, 2. with sub-optimal controllers independent of the time horizon. For the first point, we…

最优化与控制 · 数学 2019-06-10 Antoine Haddon , Hector Ramirez , Alain Rapaport

A dynamical system entrains to a periodic input if its state converges globally to an attractor with the same period. In particular, for a constant input the state converges to a unique equilibrium point for any initial condition. We…

最优化与控制 · 数学 2020-06-30 M. Ali Al-Radhawi , Michael Margaliot , Eduardo Sontag

In this paper, we present a novel control scheme for feedback optimization. That is, we propose a discrete-time controller that can steer the steady state of a physical plant to the solution of a constrained optimization problem without…

系统与控制 · 电气工程与系统科学 2020-07-09 Verena Häberle , Adrian Hauswirth , Lukas Ortmann , Saverio Bolognani , Florian Dörfler

We investigate optimization of an algal-bacterial consortium, where an exogenous control input modulates bacterial resource allocation between growth and synthesis of a resource that is limiting for algal growth. Maximization of algal…

最优化与控制 · 数学 2024-10-14 Rand Asswad , Walid Djema , Olivier Bernard , Jean-Luc Gouzé , Eugenio Cinquemani

We investigate the time-optimal control problem in SIR (Susceptible-Infected-Recovered) epidemic models, focusing on different control policies: vaccination, isolation, culling, and reduction of transmission. Applying the Pontryagin's…

最优化与控制 · 数学 2017-06-15 Luca Bolzoni , Elena Bonacini , Cinzia Soresina , Maria Groppi

We consider the problem of optimal sparse output feedback controller synthesis for continuous linear time invariant systems when the feedback gain is static and subject to specified structural constraints. Introducing an additional term…

最优化与控制 · 数学 2015-06-23 Reza Arastoo , Nader Motee , Mayuresh V. Kothare

We consider a two-level system with a fixed energy spacing (detuning) between the two levels and a single transverse control field which can take values between zero and a maximum amplitude. Using Pontryagin's maximum principle, we…

量子物理 · 物理学 2023-12-29 Vasileios Evangelakos , Emmanuel Paspalakis , Dionisis Stefanatos

This paper studies an optimal control problem related to membrane filtration processes. A simple mathematical model of membrane fouling is used to capture the dynamic behavior of the filtration process which consists in the attachment of…

This paper presents a new and straightforward procedure for solving bilinear quadratic optimal control problem. In this method, first the original optimal control problem is transformed into a nonlinear twopoint boundary value problem…

最优化与控制 · 数学 2012-02-09 Hamidreza Ramezanpour , Saeed Setayeshi , Hossein Arabalibeik , Amin Jajarmi

The article considers a two-level open quantum system whose dynamics is driven by a combination of coherent and incoherent controls. Coherent control enters into the Hamiltonian part of the dynamics whereas incoherent control enters into…

量子物理 · 物理学 2019-09-24 Oleg V. Morzhin , Alexander N. Pechen

Extracellular DNA accumulation in recirculating bioprocesses inhibits microbial growth and reduces productivity. We consider a continuous bioreactor with a recirculating loop and an electrophoretic filtration unit for selective DNA removal,…

系统与控制 · 电气工程与系统科学 2026-03-25 Antonio Spallone , Davide Fiore , Fabrizio Cartenì , Mario di Bernardo

The problem of optimal control of non-Markovian open quantum system via weak measurement is presented. Based on the non-Markovian master equation, we evaluate exactly the non-Markovian effect on the dynamics of the system of interest…

量子物理 · 物理学 2010-04-28 Zairong Xi , Wei Cui , Yu Pan

In this paper, we focus on a method based on optimal control to address the optimization problem. The objective is to find the optimal solution that minimizes the objective function. We transform the optimization problem into optimal…

最优化与控制 · 数学 2023-09-12 Yeming Xu , Ziyuan Guo , Hongxia Wang , Huanshui Zhang

We study the correction of errors intervening in two-qubit dissipating into their own environments. This is done by resorting to local feedback actions with the aim of preserving as much as possible the initial amount of entanglement.…

量子物理 · 物理学 2016-08-30 Morteza Rafiee , Alireza Nourmandipour , Stefano Mancini

We derive the explicit solution of the problem of time-optimal control by a common magnetic fields for two independent spin-$\frac{1}{2}$ particles. Our approach is based on the Pontryagin Maximum Principle and a novel symmetry reduction…

量子物理 · 物理学 2018-12-12 Yunlan Ji , Ji Bian , Min Jiang , Domenico D'Alessandro , Xinhua Peng

We address the issue of minimal time optimal control of fedbatch reactor in presence of complex non monotonic kinetics, that can be typically characterized by the combination of two Haldane models. The optimal synthesis may present several…

最优化与控制 · 数学 2010-10-26 Alain Rapaport , Denis Dochain
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