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We present an online learning analysis of minimax adaptive control for the case where the uncertainty includes a finite set of linear dynamical systems. Precisely, for each system inside the uncertainty set, we define the model-based regret…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Venkatraman Renganathan , Andrea Iannelli , Anders Rantzer

In this paper, we propose a learning approach to analyze dynamic systems with asymmetric information structure. Instead of adopting a game theoretic setting, we investigate an online quadratic optimization problem driven by system noises…

Optimization and Control · Mathematics 2018-11-05 Cheng Tan , Wing Shing Wong

We study fundamental performance limitations of distributed feedback control in large-scale networked dynamical systems. Specifically, we address the question of whether dynamic feedback controllers perform better than static (memoryless)…

Optimization and Control · Mathematics 2019-03-14 Emma Tegling , Partha Mitra , Henrik Sandberg , Bassam Bamieh

Performance of adaptive control policies is assessed through the regret with respect to the optimal regulator, which reflects the increase in the operating cost due to uncertainty about the dynamics parameters. However, available results in…

Systems and Control · Computer Science 2020-03-24 Mohamad Kazem Shirani Faradonbeh , Ambuj Tewari , George Michailidis

We consider the problem of controlling a possibly unknown linear dynamical system with adversarial perturbations, adversarially chosen convex loss functions, and partially observed states, known as non-stochastic control. We introduce a…

Machine Learning · Computer Science 2020-06-26 Max Simchowitz , Karan Singh , Elad Hazan

We consider distributed linear bandits where $M$ agents learn collaboratively to minimize the overall cumulative regret incurred by all agents. Information exchange is facilitated by a central server, and both the uplink and downlink…

Machine Learning · Computer Science 2025-11-17 Sudeep Salgia , Qing Zhao

Online optimization has recently opened avenues to study optimal control for time-varying cost functions that are unknown in advance. Inspired by this line of research, we study the distributed online linear quadratic regulator (LQR)…

Optimization and Control · Mathematics 2022-02-08 Ting-Jui Chang , Shahin Shahrampour

To accommodate low latency and computation-intensive services, such as the Internet-of-Things (IoT), 5G networks are expected to have cloud and edge computing capabilities. To this end, we consider a generic network setup where devices,…

Networking and Internet Architecture · Computer Science 2023-04-12 Saad Kriouile , Dimitrios Tsilimantos , Theodoros Giannakas

We investigate the distributed DC-Optimal Power Flow (DC-OPF) problem for a dynamic and uncertain environment. The unpredictable supply of renewable resources and varying prices of the electricity market are a few factors responsible for…

Optimization and Control · Mathematics 2023-08-10 Sushobhan Chatterjee , Rachel Kalpana Kalaimani

In this paper, we consider the distributed optimal control problem for discrete-time linear networked systems. In particular, we are interested in learning distributed optimal controllers using graph recurrent neural networks (GRNNs). Most…

Systems and Control · Electrical Eng. & Systems 2025-07-23 Zihao Song , Shirantha Welikala , Panos J. Antsaklis , Hai Lin

In this paper, we consider a distributed online convex optimization problem over a time-varying multi-agent network. The goal of this network is to minimize a global loss function through local computation and communication with neighbors.…

Optimization and Control · Mathematics 2024-06-17 Wentao Zhang , Yang Shi , Baoyong Zhang , Deming Yuan

This paper introduces consensus-based primal-dual methods for distributed online optimization where the time-varying system objective function $f_t(\mathbf{x})$ is given as the sum of local agents' objective functions, i.e.,…

Optimization and Control · Mathematics 2017-06-01 Soomin Lee , Michael M. Zavlanos

We consider the setting of iterative learning control, or model-based policy learning in the presence of uncertain, time-varying dynamics. In this setting, we propose a new performance metric, planning regret, which replaces the standard…

Machine Learning · Computer Science 2021-03-01 Naman Agarwal , Elad Hazan , Anirudha Majumdar , Karan Singh

We study distributed methods for online prediction and stochastic optimization. Our approach is iterative: in each round nodes first perform local computations and then communicate in order to aggregate information and synchronize their…

Information Theory · Computer Science 2014-03-06 Konstantinos I. Tsianos , Michael G. Rabbat

When designing large-scale distributed controllers, the information-sharing constraints between sub-controllers, as defined by a communication topology interconnecting them, are as important as the controller itself. Controllers implemented…

Systems and Control · Electrical Eng. & Systems 2021-04-29 Fengjun Yang , Nikolai Matni

We consider a two-level discrete-time control framework with real-time constraints where a central controller issues setpoints to be implemented by local controllers. The local controllers implement the setpoints with some approximation and…

Optimization and Control · Mathematics 2016-12-22 Andrey Bernstein , Niek J. Bouman , Jean-Yves Le Boudec

We consider the problem of adaptive Model Predictive Control (MPC) for uncertain linear-systems with additive disturbances and with state and input constraints. We present STT-MPC (Self-Tuning Tube-based Model Predictive Control), an online…

Systems and Control · Electrical Eng. & Systems 2023-10-10 Damianos Tranos , Alexandre Proutiere

We study the problem of regret minimization in partially observable linear quadratic control systems when the model dynamics are unknown a priori. We propose ExpCommit, an explore-then-commit algorithm that learns the model Markov…

Machine Learning · Computer Science 2020-03-10 Sahin Lale , Kamyar Azizzadenesheli , Babak Hassibi , Anima Anandkumar

Emerging reconfigurable optical communication technologies allow to enhance datacenter topologies with demand-aware links optimized towards traffic patterns. This paper studies the algorithmic problem of jointly optimizing topology and…

Performance · Computer Science 2024-01-10 Wenkai Dai , Michael Dinitz , Klaus-Tycho Foerster , Long Luo , Stefan Schmid

We consider a network inventory system motivated by one-way, on-demand vehicle sharing services. Under uncertain and correlated network demand, the service operator periodically repositions vehicles to match a fixed supply with spatial…

Machine Learning · Statistics 2025-10-20 Hansheng Jiang , Chunlin Sun , Zuo-Jun Max Shen