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We formulate a nonlinear optimal control problem for intra-day operation of a natural gas pipeline network that includes storage reservoirs. The dynamics of compressible gas flow through pipes, compressors, reservoirs, and wells are…

We review recent progress in optimal control in stochastic thermodynamics. Theoretical advances provide in-depth insight into minimum-dissipation control with either full or limited (parametric) control, and spanning the limits from slow to…

统计力学 · 物理学 2023-04-13 Steven Blaber , David A. Sivak

An optimal control problem for the continuity equation is considered. The aim of a "controller" is to maximize the total mass within a target set at a given time moment. The existence of optimal controls is established. For a particular…

最优化与控制 · 数学 2015-07-01 Nikolay Pogodaev

In this paper we introduce an optimal control approach to Richards' equation in an irrigation framework, aimed at minimizing water consumption while maximizing root water uptake. We first describe the physics of the nonlinear model under…

最优化与控制 · 数学 2023-07-13 Marco Berardi , Fabio V. Difonzo , Roberto Guglielmi

We study an optimal boundary control problem for the two-dimensional stationary micropolar fluids system with variable density. We control the system by considering boundary controls, for the velocity vector and angular velocity of rotation…

最优化与控制 · 数学 2017-06-13 Exequiel Mallea-Zepeda , Elva Ortega-Torres , Élder J. Villamizar-Roa

The paper is concerned with the boundary controllability of entropy weak solutions to hyperbolic systems of conservation laws. We prove a general result on the asymptotic stabilization of a system near a constant state. On the other hand,…

最优化与控制 · 数学 2007-05-23 Alberto Bressan , Giuseppe Maria Coclite

We study a control problem where the state equation is a nonlinear partial differential equation of the calculus of variation in a bounded domain, perturbed by noise. We allow the control to act on the boundary and set stochastic boundary…

概率论 · 数学 2025-11-26 Stefano Bonaccorsi , Adrian Zalinescu

We show how optimal nonlinear regulation can be achieved in a model predictive control fashion.

最优化与控制 · 数学 2013-10-29 Cesar O. Aguilar , Arthur J. Krener

Necessary optimality conditions and numerical methods for solving an optimal control problem for a linear continuous-time dynanical system with controlled coefficients and quadratic goal functional are discussed.

最优化与控制 · 数学 2010-04-20 Olga V. Baturina , Alexander V. Bulatov , Vadim F. Krotov

We consider the tracking of geometric paths in output spaces of nonlinear systems subject to input and state constraints without pre-specified timing requirements. Such problems are commonly referred to as constrained output path-following…

系统与控制 · 计算机科学 2017-07-18 Timm Faulwasser , Rolf Findeisen

This paper deals with an optimal control problem and describes the reachable set for the scalar 1-D conservation laws with discontinuous flux. Regarding the optimal control problem we first prove the existence of a minimizer and then we…

偏微分方程分析 · 数学 2016-03-16 Adimurthi , Shyam Sundar Ghoshal , Pierangelo Marcati

A class of optimal control problems governed by linear fractional diffusion equation with control constraint is considered. We first establish some results on the existence of strong solution to the state equation and the existence of…

最优化与控制 · 数学 2022-11-24 Bui Trong Kien , Bui Ngoc Muoi , Ching-Feng Wen , Jen-Chih Yao

Control of complex processes is a major goal of network analyses. Most approaches to control nonlinearly coupled systems require the network topology and/or network dynamics. Unfortunately, neither the full set of participating nodes nor…

分子网络 · 定量生物学 2014-12-23 Jason Shulman , Frank Malatino , Alexander Mo , Killian Ryan , Gemunu H. Gunaratne

Nonlinear optimal control problems in Hilbert spaces are considered for which we derive approximation theorems for Galerkin approximations. Approximation theorems are available in the literature. The originality of our approach relies on…

最优化与控制 · 数学 2017-07-21 Mickaël D. Chekroun , Axel Kröner , Honghu Liu

We present a stochastic optimal control problem for a tree network. The dynamics of the network are governed by transport equations with a special emphasis on the non-linear damping function. Demand profiles at the network sinks are…

最优化与控制 · 数学 2022-02-11 Simone Göttlich , Thomas Schillinger

This contribution considers optimal control problems subject to nonlocal conservation laws -- those in which the velocity depends nonlocally (i.e., via a convolution) on the solution -- and the so-called singular limit. First, the existence…

最优化与控制 · 数学 2025-12-22 Alexander Keimer , Lukas Pflug , Jakob Rodestock

In this paper, problems of optimal control are considered where in the objective function, in addition to the control cost there is a tracking term that measures the distance to a desired stationary state. The tracking term is given by some…

最优化与控制 · 数学 2020-06-15 Martin Gugat , Michael Schuster , Enrique Zuazua

Sequential Model-based Bayesian Optimization has been successful-ly applied to several application domains, characterized by complex search spaces, such as Automated Machine Learning and Neural Architecture Search. This paper focuses on…

系统与控制 · 电气工程与系统科学 2020-03-10 Antonio Candelieri , Bruno Galuzzi , Ilaria Giordani , Francesco Archetti

We present control-oriented models for transient dynamics of isothermal one-dimensional gas flow through multiple pipes in series and intersecting pipe geometries. These composite models subsume algebraic constraints that would otherwise…

最优化与控制 · 数学 2022-05-24 Sven Brüggemann , Robert R. Bitmead

This paper investigates the control of flow networks, where the control objective is to regulate the measured output (e.g storage levels) towards a desired value. We present a distributed controller that dynamically adjusts the inputs and…

系统与控制 · 计算机科学 2017-08-03 Sebastian Trip , Tjardo Scholten , Claudio De Persis