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This paper proposes a fully distributed termination method for distributed optimization algorithms solved by multiple agents. The proposed method guarantees terminating a distributed optimization algorithm after satisfying the global…

最优化与控制 · 数学 2024-01-31 Mohannad Alkhraijah , Daniel K. Molzahn

We study the synthesis of optimal control policies for large-scale multi-agent systems. The optimal control design induces a parsimonious control intervention by means of l-1, sparsity-promoting control penalizations. We study instantaneous…

最优化与控制 · 数学 2016-11-15 Giacomo Albi , Massimo Fornasier , Dante Kalise

We propose a distributed optimization method for solving a distributed model predictive consensus problem. The goal is to design a distributed controller for a network of dynamical systems to optimize a coupled objective function while…

最优化与控制 · 数学 2012-12-07 Tyler H. Summers , John Lygeros

Sparse penalized quantile regression provides an effective framework for variable selection and robust estimation in high-dimensional data analysis. When ex planatory variables are organized into groups, achieving sparsity both within and…

统计计算 · 统计学 2026-04-23 Huayan Kou , Yuwen Gu , Yi Lian , Rui Zhang , Jun Fan

Feedback optimization is an increasingly popular control paradigm to optimize dynamical systems, accounting for control objectives that concern the system operation at steady-state. Existing feedback optimization techniques heavily rely on…

最优化与控制 · 数学 2025-04-08 Amir Mehrnoosh , Gianluca Bianchin

We address the problem of sparsity-promoting optimal control of cyber-physical systems (CPSs) in the presence of communication delays. The delays are categorized into two types - namely, an inter-layer delay for passing state and control…

最优化与控制 · 数学 2021-02-05 Nandini Negi , Aranya Chakrabortty

This paper considers sequential adaptive estimation of sparse signals under a constraint on the total sensing effort. The advantage of adaptivity in this context is the ability to focus more resources on regions of space where signal…

统计方法学 · 统计学 2013-04-03 Dennis Wei , Alfred O. Hero

Recent works have established the utility of sparsity-promoting norms for extracting spatially-localized instability mechanisms in fluid flows, with possible implications for flow control. However, these prior works have focused on linear…

流体动力学 · 物理学 2023-11-17 A. Leonid Heide , Maziar S. Hemati

We formulate the control of reactive power generation by photovoltaic inverters in a power distribution circuit as a constrained optimization that aims to minimize reactive power losses subject to finite inverter capacity and upper and…

最优化与控制 · 数学 2014-12-31 Petr Šulc , Scott Backhaus , Michael Chertkov

We propose new methods to speed up convergence of the Alternating Direction Method of Multipliers (ADMM), a common optimization tool in the context of large scale and distributed learning. The proposed method accelerates the speed of…

机器学习 · 计算机科学 2016-04-05 Changkyu Song , Sejong Yoon , Vladimir Pavlovic

In many statistical modeling problems, such as classification and regression, it is common to encounter sparse and blocky coefficients. Sparse fused Lasso is specifically designed to recover these sparse and blocky structured features,…

统计理论 · 数学 2024-05-30 Xiaofei Wu , Rongmei Liang , Zhimin Zhang , Zhenyu Cui

We present the Alternating Direction Method of Multipliers for Performance Boosting (ADMM-PB), an approach to design performance boosting controllers for stable or pre-stabilized nonlinear systems, while explicitly seeking input and state…

系统与控制 · 电气工程与系统科学 2025-11-05 Gianluca Giacomelli , Danilo Saccani , Siep Weiland , Giancarlo Ferrari-Trecate , Valentina Breschi

In modern smart grids, charging of local energy storage devices is coordinated on a residential level to compensate the volatile aggregated power demand on the time interval of interest. However, this results in a perpetual usage of all…

系统与控制 · 电气工程与系统科学 2020-02-11 Philipp Sauerteig , Yuning Jiang , Boris Houska , Karl Worthmann

Sparse estimation methods are aimed at using or obtaining parsimonious representations of data or models. They were first dedicated to linear variable selection but numerous extensions have now emerged such as structured sparsity or kernel…

机器学习 · 计算机科学 2011-11-24 Francis Bach , Rodolphe Jenatton , Julien Mairal , Guillaume Obozinski

Sparse signal recovery based on nonconvex and nonsmooth optimization problems has significant applications and demonstrates superior performance in signal processing and machine learning. This work deals with a scale-invariant…

最优化与控制 · 数学 2025-09-29 Lang Yu , Nanjing Huang

The problem of sparse array design for dual-function radar-communications is investigated. Our goal is to design a sparse array which can simultaneously shape desired beam responses and serve multiple downlink users with the required…

系统与控制 · 电气工程与系统科学 2023-03-14 Huiping Huang , Linlong Wu , Bhavani Shankar , Abdelhak M. Zoubir

We consider a model predictive control (MPC) setting, where we use the alternating direction method of multipliers (ADMM) to exploit problem structure. We take advantage of interacting components in the controlled system by decomposing its…

最优化与控制 · 数学 2019-05-16 Felix Rey , Peter Hokayem , John Lygeros

We give algorithms for designing near-optimal sparse controllers using policy gradient with applications to control of systems corrupted by multiplicative noise, which is increasingly important in emerging complex dynamical networks.…

最优化与控制 · 数学 2019-06-03 Benjamin Gravell , Yi Guo , Tyler Summers

Feedback optimisation is an emerging technique aiming at steering a system to an optimal steady state for a given objective function. We show that it is possible to employ this control strategy in a distributed manner. Moreover, we prove…

最优化与控制 · 数学 2022-03-01 Antonio Terpin , Sylvain Fricker , Michel Perez , Mathias Hudoba de Badyn , Florian Dörfler

Direct collocation methods are widely used numerical techniques for solving optimal control problems. The discretization of continuous-time optimal control problems transforms them into large-scale nonlinear programming problems, which…

系统与控制 · 电气工程与系统科学 2025-06-16 Yilin Zou , Fanghua Jiang