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In this article, we study the repeated routing game problem on a parallel network with affine latency functions on each edge. We cast the game setup in a LQR control theoretic framework, leveraging the Rosenthal potential formulation. We…

最优化与控制 · 数学 2022-01-03 Marsalis Gibson , Yiling You , Alexandre Bayen

This paper addresses the stabilization of linear systems with multiple time-varying input delays. In scenarios where neither the exact delays information nor their bound is known, we propose a class of linear time-varying state feedback…

动力系统 · 数学 2025-05-01 Bin Zhou , Kai Zhang

We solve a linear quadratic optimal control problem for sampled-data systems with stochastic delays. The delays are stochastically determined by the last few delays. The proposed optimal controller can be efficiently computed by iteratively…

最优化与控制 · 数学 2018-05-18 Masashi Wakaiki , Masaki Ogura , Joao P. Hespanha

In this paper we study the optimal formation control of multiple agents whose interaction parameters are adjusted upon a cost function consisting of both the control energy and the geometrical performance. By optimizing the interaction…

系统与控制 · 计算机科学 2015-03-17 Huang Huang , Changbin Yu

In this article, we revisit a communication-control co-design problem for a class of two-player stochastic differential games on an infinite horizon. Each 'player' represents two active decision makers, namely a scheduler and a remote…

系统与控制 · 电气工程与系统科学 2025-03-04 Shubham Aggarwal , Tamer Başar , Dipankar Maity

Consider a discrete-time Linear Quadratic Regulator (LQR) problem solved using policy gradient descent when the system matrices are unknown. The gradient is transmitted across a noisy channel over a finite time horizon using analog…

最优化与控制 · 数学 2025-07-22 Ashwin Verma , Aritra Mitra , Lintao Ye , Vijay Gupta

This paper studies the problem of optimal flow control in dynamic inventory systems. A dynamic optimal distribution problem, including time-varying supply and demand, capacity constraints on the transportation lines, and convex flow cost…

最优化与控制 · 数学 2014-03-28 Mathias Bürger , Claudio De Persis , Frank Allgöwer

This paper studies the stochastic optimal control problem for systems with unknown dynamics. First, an open-loop deterministic trajectory optimization problem is solved without knowing the explicit form of the dynamical system. Next, a…

系统与控制 · 计算机科学 2017-05-30 Dan Yu , Mohammadhussein Rafieisakhaei , Suman Chakravorty

The focus of this paper is directed towards optimal control of multi-agent systems consisting of one leader and a number of followers in the presence of noise. The dynamics of every agent is assumed to be linear, and the performance index…

最优化与控制 · 数学 2020-12-02 Jalal Arabneydi , Mohammad M. Baharloo , Amir G. Aghdam

We study the optimal control of propagation of packets in delay tolerant mobile ad-hoc networks. We consider a two-hop forwarding policy under which the expected number of nodes carrying copies of the packets obeys a linear dynamics. We…

网络与互联网体系结构 · 计算机科学 2009-11-18 Eitan Altman , Tamer Basar , Francesco De Pellegrini

Iterative linear-quadratic (ILQ) methods are widely used in the nonlinear optimal control community. Recent work has applied similar methodology in the setting of multiplayer general-sum differential games. Here, ILQ methods are capable of…

系统与控制 · 电气工程与系统科学 2020-03-20 David Fridovich-Keil , Vicenc Rubies-Royo , Claire J. Tomlin

We study minimum-variance feedback-control design for a networked control system with retarded dynamics, where inter-agent communication is subject to latency. We prove that such a design can be solved efficiently for circular formations…

系统与控制 · 电气工程与系统科学 2025-03-04 Luca Ballotta , Mihailo R. Jovanović , Luca Schenato

This paper addresses the problem of sequence-based controller design for Networked Control Systems (NCS), where control inputs and measurements are transmitted over TCP-like network connections that are subject to stochastic packet losses…

系统与控制 · 计算机科学 2012-11-14 Jörg Fischer , Achim Hekler , Maxim Dolgov , Uwe D. Hanebeck

This paper proposes a scalable distributed policy gradient method and proves its convergence to near-optimal solution in multi-agent linear quadratic networked systems. The agents engage within a specified network under local communication…

多智能体系统 · 计算机科学 2024-03-06 Yuzi Yan , Yuan Shen

Optimal controller synthesis is a bilinear problem and hence difficult to solve in a computationally efficient manner. We are able to resolve this bilinearity for systems with delay by first convexifying the problem in infinite-dimensions -…

系统与控制 · 计算机科学 2018-07-13 Matthew M. Peet

In this letter, we explore the communication-control co-design of discrete-time stochastic linear systems through reinforcement learning. Specifically, we examine a closed-loop system involving two sequential decision-makers: a scheduler…

最优化与控制 · 数学 2025-04-15 Shubham Aggarwal , Dipankar Maity , Tamer Başar

The Linear Quadratic Regulator (LQR) framework considers the problem of regulating a linear dynamical system perturbed by environmental noise. We compute the policy regret between three distinct control policies: i) the optimal online…

最优化与控制 · 数学 2020-02-10 Gautam Goel , Babak Hassibi

This paper considers the containment control problem for multi-agent systems with general linear dynamics and multiple leaders whose control inputs are possibly nonzero and time varying. Based on the relative states of neighboring agents, a…

系统与控制 · 计算机科学 2013-12-31 Zhongkui Li , Zhisheng Duan , Wei Ren , Gang Feng

A linear quadratic (LQ) stochastic optimization problem with delay involving weakly-coupled large population is investigated in this paper. Different to classic mean field (MF) game, here agents cooperate with each other to minimize the…

最优化与控制 · 数学 2023-01-18 Tianyang Nie , Shujun Wang , Zhen Wu

In this paper, we study the stochastic optimal control problem for control system with time-varying delay. The corresponding stochastic differential equation is a kind of stochastic differential delay equation. We prove the existence and…

最优化与控制 · 数学 2024-01-17 Yuhang Li , Yuecai Han