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Time distributed optimization is an implementation strategy that can significantly reduce the computational burden of model predictive control by exploiting its robustness to incomplete optimization. When using this strategy, optimization…

最优化与控制 · 数学 2020-04-14 Dominic Liao-McPherson , Marco Nicotra , Ilya Kolmanovsky

This paper focuses on the quasi-optimality of an adaptive nonconforming finite element method for a distributed optimal control problem governed by the Stokes equation. The nonconforming lowest order Crouzeix-Raviart element and piecewise…

数值分析 · 数学 2026-03-24 Tooba M. Shaikh , Asha K. Dond

This paper considers the optimal control for hybrid systems whose trajectories transition between distinct subsystems when state-dependent constraints are satisfied. Though this class of systems is useful while modeling a variety of…

最优化与控制 · 数学 2018-03-21 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan

We study the optimal control of district heating networks using a reduced order model based on a system theoretic description close to the underlying Euler equations. In the presented scenarios, the central task is to limit the maximal…

最优化与控制 · 数学 2019-07-12 Markus Rein , Jan Mohring , Tobias Damm , Axel Klar

This paper addresses a distributed optimization problem in a communication network where nodes are active sporadically. Each active node applies some learning method to control its action to maximize the global utility function, which is…

最优化与控制 · 数学 2021-04-20 Wenjie Li , Mohamad Assaad , Shiqi Zheng

Though switched dynamical systems have shown great utility in modeling a variety of physical phenomena, the construction of an optimal control of such systems has proven difficult since it demands some type of optimal mode scheduling. In…

最优化与控制 · 数学 2014-02-04 Ramanarayan Vasudevan , Humberto Gonzalez , Ruzena Bajcsy , S. Shankar Sastry

Decentralized optimization to minimize a finite sum of functions over a network of nodes has been a significant focus within control and signal processing research due to its natural relevance to optimal control and signal estimation…

机器学习 · 计算机科学 2020-09-15 Ran Xin , Shi Pu , Angelia Nedić , Usman A. Khan

The key to generalization is controlling the complexity of the network. However, there is no obvious control of complexity -- such as an explicit regularization term -- in the training of deep networks for classification. We will show that…

Recent work in the area of interdependent networks has focused on interactions between two systems of the same type. However, an important and ubiquitous class of systems are those involving monitoring and control, an example of…

无序系统与神经网络 · 物理学 2013-09-27 Richard G. Morris , Marc Barthelemy

The article discusses the gradient discretisation method (GDM) for distributed optimal control problems governed by diffusion equation with pure Neumann boundary condition. Using the GDM framework enables to develop an analysis that…

数值分析 · 数学 2018-10-09 Jerome Droniou , Neela Nataraj , Devika Shylaja

We consider integer-restricted optimal control of systems governed by abstract semilinear evolution equations. This includes the problem of optimal control design for certain distributed parameter systems endowed with multiple actuators,…

最优化与控制 · 数学 2013-04-23 Falk M. Hante , Sebastian Sager

In this paper we investigate an adaptive discretization strategy for ill-posed linear prob- lems combined with a regularization from a class of semiiterative methods. We show that such a discretization approach in combination with a…

数值分析 · 数学 2014-07-22 Wolfgang Erb , Evgeniya V. Semenova

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…

系统与控制 · 电气工程与系统科学 2024-09-20 Egor Dogadin , Alexey Peregudin , Dmitriy Shirokih

We consider the variational discretization of a linear-quadratic optimal control problem with pointwise control and state constraints. In order to allow for a Fr\'echet smooth norm, the problem is reformulated by means of a reflexive…

最优化与控制 · 数学 2010-08-24 Morten Vierling

This paper investigates distributed control and incentive mechanisms to coordinate distributed energy resources (DERs) with both continuous and discrete decision variables as well as device dynamics in distribution grids. We formulate a…

最优化与控制 · 数学 2019-07-16 Xinyang Zhou , Emiliano Dall'Anese , Lijun Chen

This work presents a control-oriented identification scheme for efficient control design and stability analysis of nonlinear systems. Neural networks are used to identify a discrete-time nonlinear state-space model to approximate…

系统与控制 · 电气工程与系统科学 2024-10-04 Maxime Thieffry , Alexandre Hache , Mohamed Yagoubi , Philippe Chevrel

A reflection of our ultimate understanding of a complex system is our ability to control its behavior. Typically, control has multiple prerequisites: It requires an accurate map of the network that governs the interactions between the…

系统与控制 · 计算机科学 2016-09-21 Yang-Yu Liu , Albert-Laszló Barabási

Network equilibrium models represent a versatile tool for the analysis of interconnected objects and their relationships. They have been widely employed in both science and engineering to study the behavior of complex systems under various…

适应与自组织系统 · 物理学 2024-10-31 Omar Aloui , David Orden , Nizar Bel Hadj Ali , Landolf Rhode-Barbarigos

In this paper, we consider the problem of distributed inference in tree based networks. In the framework considered in this paper, distributed nodes make a 1-bit local decision regarding a phenomenon before sending it to the fusion center…

信息论 · 计算机科学 2016-11-17 Bhavya Kailkhura , Aditya Vempaty , Pramod K. Varshney

Networked systems display complex patterns of interactions between a large number of components. In physical networks, these interactions often occur along structural connections that link components in a hard-wired connection topology,…

神经元与认知 · 定量生物学 2018-04-03 Jason Kim , Jonathan M. Soffer , Ari E. Kahn , Jean M. Vettel , Fabio Pasqualetti , Danielle S. Bassett