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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 consider a $4\times4$ nonlinear reaction-diffusion system posed on a smooth domain $\Omega$ of $\mathbb{R}^N$ ($N \geq 1$) with controls localized in some arbitrary nonempty open subset $\omega$ of the domain $\Omega$. This system is a…

最优化与控制 · 数学 2018-08-09 Kévin Le Balc'h

Controlling the stochastic dynamics of biological populations is a challenge that arises across various biological contexts. However, these dynamics are inherently nonlinear and involve a discrete state space, i.e., the number of molecules,…

种群与进化 · 定量生物学 2025-10-21 Shuhei A. Horiguchi , Tetsuya J. Kobayashi

In this letter, we present a constraint-driven optimal control framework that achieves emergent cluster flocking within a constrained 2D environment. We formulate a decentralized optimal control problem that includes safety, flocking, and…

最优化与控制 · 数学 2022-03-22 Logan E. Beaver , Andreas A. Malikopoulos

This paper studies the learning-to-control problem under process and sensing uncertainties for dynamical systems. In our previous work, we developed a data-based generalization of the iterative linear quadratic regulator (iLQR) to design…

机器人学 · 计算机科学 2023-11-09 Ran Wang , Raman Goyal , Suman Chakravorty

We consider control of reaction and population systems by deterministically imposed transitions between the states with different numbers of particles or individuals. Even where the imposed transitions are significantly less frequent than…

统计力学 · 物理学 2011-02-07 M. Khasin , M. I. Dykman

This paper deals with Interior Point Methods (IPMs) for Optimal Control Problems (OCPs) with pure state and mixed constraints. This paper establishes a complete proof of convergence of IPMs for a general class of OCPs. Convergence results…

最优化与控制 · 数学 2024-06-19 Paul Malisani

We consider the problem of global stabilization of an unstable bioreactor model (e.g. for anaerobic digestion), when the measurements are discrete and in finite number ("quantized"), with control of the dilution rate. The model is a…

最优化与控制 · 数学 2015-08-12 Francis Mairet , Jean-Luc Gouzé

Controlling a large population, in the limit, a continuum, of structurally identical dynamical systems with parametric variations is a pervasive task in diverse applications in science and engineering. However, the severely underactuated…

最优化与控制 · 数学 2020-09-08 Vignesh Narayanan , Wei Zhang , Jr-Shin Li

This paper presents a systematic approach to the advanced control of continuous crystallization processes using model predictive control. We provide a tutorial introduction to controlling complex particle size distributions by integrating…

系统与控制 · 电气工程与系统科学 2026-02-04 Collin R. Johnson , Kerstin Wohlgemuth , Sergio Lucia

The paper addresses an optimal control problem for a perturbed sweeping process of the rate-independent hysteresis type described by a controlled "play and stop" operator with separately controlled perturbations. This problem can be reduced…

最优化与控制 · 数学 2015-12-01 Tan H. Cao , Boris S. Mordukhovich

In this paper, we consider a minimum time control problem governed by a trait-structured chemostat model including mutation and one limiting substrate. Our first main result proves the well-posedness of the control-to-state mapping. We…

最优化与控制 · 数学 2026-02-26 Claudia Alvarez-Latuz , Terence Bayen , Jerome Coville

Conventional approaches for controlling open quantum systems use coherent control which affects the system's evolution through the Hamiltonian part of the dynamics. Such control, although being extremely efficient for a large variety of…

量子物理 · 物理学 2009-05-04 Alexander Pechen , Herschel Rabitz

The two-population Kuramoto-Sakaguchi model for interacting populations of phase oscillators exhibits chimera states whereby one population is synchronised, and the other is desynchronised. Which of the two populations is synchronised…

适应与自组织系统 · 物理学 2026-02-19 Henry Irvine , Georg A. Gottwald

We propose two new optimistic planning algorithms for nonlinear hybrid-input systems, in which the input has both a continuous and a discrete component, and the discrete component must respect a dwell-time constraint. Both algorithms select…

最优化与控制 · 数学 2023-05-16 Ioana Lal , Constantin Morarescu , Jamal Daafouz , Lucian Busoniu

In this paper, we explore the conditions for asymptotic stability of the hybrid closed-loop system resulting from the interconnection of a nonlinear plant, an intelligent sensor that generates finite-time convergent estimates of the plant…

系统与控制 · 电气工程与系统科学 2024-11-15 Xuanzhi Zhu , Pedro Casau , Carlos Silvestre

In this paper, we deal with the null controllability of a population dynamics model with an interior degenerate diffusion. To this end, we proved first a new Carleman estimate for the full adjoint system and afterwards we deduce a suitable…

偏微分方程分析 · 数学 2017-04-05 Idriss Boutaayamou , Younes Echarroudi

This paper addresses the problem of robust control of a linear discrete-time system subject to bounded disturbances and to measurement and control budget constraints. Using Q-parameterization and a polytope containment method, we prove that…

最优化与控制 · 数学 2021-09-23 Antoine Aspeel , Kwesi Rutledge , Raphaël M. Jungers , Benoit Macq , Necmiye Özay

In this paper we establish several results on approximate controllability of a semilinear wave equation by making use of a single multiplicative control. These results are then applied to discuss the exact controllability properties for the…

最优化与控制 · 数学 2019-01-16 Mohamed Ouzahra

We consider a data-driven formulation of the classical discrete-time stochastic control problem. Our approach exploits the natural structure of many such problems, in which significant portions of the system are uncontrolled. Employing the…

最优化与控制 · 数学 2025-08-25 Boris Baros , Samuel N. Cohen , Christoph Reisinger