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This paper considers unbalanced multiphase distribution systems with generic topology and different load models, and extends the Z-bus iterative load-flow algorithm based on a fixed-point interpretation of the AC load-flow equations.…

最优化与控制 · 数学 2018-04-04 Andrey Bernstein , Cong Wang , Emiliano Dall'Anese , Jean-Yves Le Boudec , Changhong Zhao

Conditions for input-output stability of barrier-based model predictive control of linear systems with linear and convex nonlinear (hard or soft) constraints are established through the construction of integral quadratic constraints (IQCs).…

系统与控制 · 计算机科学 2019-03-12 Panagiotis Petsagkourakis , William P. Heath , Joaquin Carrasco , Constantinos Theodoropoulos

This work primarily focuses on an operator inference methodology aimed at constructing low-dimensional dynamical models based on a priori hypotheses about their structure, often informed by established physics or expert insights. Stability…

机器学习 · 计算机科学 2024-03-04 Igor Pontes Duff , Pawan Goyal , Peter Benner

We prove new characterisations of exponential stability for positive linear discrete-time systems in ordered Banach spaces, in terms of small-gain conditions. Such conditions have played an important role in the finite-dimensional systems…

泛函分析 · 数学 2021-07-19 Jochen Glück , Andrii Mironchenko

This paper proposes a balancing-based model reduction approach for an interconnection of passive dynamic subsystems. This approach preserves the passivity and stability of both the subsystems and the interconnected system. Hereto, one…

系统与控制 · 电气工程与系统科学 2023-11-23 Luuk Poort , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

Small-world networks are highly clustered networks with small distances among the nodes. There are many biological neural networks that present this kind of connections. There are no special weightings in the connections of most existing…

无序系统与神经网络 · 物理学 2009-11-10 Chunguang Li , Guanrong Chen

An edge-weighted, vertex-capacitated graph G is called stable if the value of a maximum-weight capacity-matching equals the value of a maximum-weight fractional capacity-matching. Stable graphs play a key role in characterizing the…

离散数学 · 计算机科学 2022-11-23 Matthew Gerstbrein , Laura Sanità , Lucy Verberk

We consider a general class of low complexity distributed scheduling algorithms in wireless networks, maximal scheduling with priorities, where a maximal set of transmitting links in each time slot are selected according to certain…

信息论 · 计算机科学 2011-12-05 Qiao Li , Rohit Negi

This paper studies least-square regression penalized with partly smooth convex regularizers. This class of functions is very large and versatile allowing to promote solutions conforming to some notion of low-complexity. Indeed, they force…

最优化与控制 · 数学 2014-07-01 Samuel Vaiter , Gabriel Peyré , Jalal M. Fadili

We examine deterministic broadcasting on multiple-access channels for a scenario when packets are injected continuously by an adversary to the buffers of the devices at rate $\rho$ packages per round. The aim is to maintain system…

分布式、并行与集群计算 · 计算机科学 2020-05-19 Elijah Hradovich , Marek Klonowski , Dariusz R. Kowalski

Monotone operator equilibrium networks are implicit-layer models whose output is the unique equilibrium of a monotone operator, guaranteeing existence, uniqueness, and convergence. When deployed on low-precision hardware, weights are…

最优化与控制 · 数学 2026-03-12 James Li , Philip H. W. Leong , Thomas Chaffey

This paper presents a new condition for the existence of optimal stationary policies in average-cost continuous-time Markov decision processes with unbounded cost and transition rates, arising from controlled queueing systems. This…

最优化与控制 · 数学 2015-04-23 Cao Ping , Xie Jingui

In this paper, we consider the simplest version of a linear neural network (LNN). Assuming that for training (constructing an optimal weight matrix $Q$) we have a set of training pairs, i.e. we know the input data \begin{equation}…

数值分析 · 数学 2024-08-12 S. Liu , S. I. Kabanikhin , S. V. Strijhak

The problem of load balancing in a distribution network under unknown time- varying demand and supply is studied. A set of distributed controllers which regulate the amount of flow through the edges is designed to guarantee convergence of…

最优化与控制 · 数学 2013-02-05 Claudio De Persis

We consider the stability of robust scheduling policies for multiclass queueing networks. These are open networks with arbitrary routing matrix and several disjoint groups of queues in which at most one queue can be served at a time. The…

概率论 · 数学 2015-05-12 Ramtin Pedarsani , Jean Walrand

The main result relates to structured robust stability analysis of an input-output model for networks with link uncertainty. It constitutes a collection of integral quadratic constraints, which together imply robust stability of the…

系统与控制 · 电气工程与系统科学 2024-09-05 Simone Mariano , Michael Cantoni

Performance analysis of queueing networks is one of the most challenging areas of queueing theory. Barring very specialized models such as product-form type queueing networks, there exist very few results which provide provable…

最优化与控制 · 数学 2010-09-22 Dimitris Bertsimas , David Gamarnik , Alexander Rikun

The solution of linear inverse problems arising, for example, in signal and image processing is a challenging problem since the ill-conditioning amplifies, in the solution, the noise present in the data. Recently introduced algorithms based…

数值分析 · 数学 2024-02-08 Davide Evangelista , James Nagy , Elena Morotti , Elena Loli Piccolomini

Stability of linear systems with uncertain bounded time-varying delays is studied under assumption that the nominal delay values are not equal to zero. An input-output approach to stability of such systems is known to be based on the bound…

最优化与控制 · 数学 2007-05-23 Eugenii Shustin , Emilia Fridman

Consider a countably infinite collection of interacting queues, with a queue located at each point of the $d$-dimensional integer grid, having independent Poisson arrivals, but dependent service rates. The service discipline is of the…

概率论 · 数学 2019-03-12 Abishek Sankararaman , François Baccelli , Sergey Foss