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Motivated by packet routing in computer networks, online queuing systems are composed of queues receiving packets at different rates. Repeatedly, they send packets to servers, each of them treating only at most one packet at a time. In the…

Machine Learning · Statistics 2021-11-05 Flore Sentenac , Etienne Boursier , Vianney Perchet

In this paper, we investigate the model reference adaptive control approach for uncertain piecewise affine systems with performance guarantees. The proposed approach ensures the error metric, defined as the weighted Euclidean norm of the…

Systems and Control · Electrical Eng. & Systems 2022-01-21 Tong Liu , Martin Buss

We consider a single-server cyclic polling system with three queues where the server follows an adaptive rule: if it finds one of queues empty in a given cycle, it decides not to visit that queue in the next cycle. In the case of limited…

Probability · Mathematics 2013-03-20 Natalia Chernova , Sergey Foss , Bara Kim

We study the offline data-driven sequential decision making problem in the framework of Markov decision process (MDP). In order to enhance the generalizability and adaptivity of the learned policy, we propose to evaluate each policy by a…

Statistics Theory · Mathematics 2021-11-11 Zhengling Qi , Peng Liao

This paper presents an adaptive combination strategy for distributed learning over diffusion networks. Since learning relies on the collaborative processing of the stochastic information at the dispersed agents, the overall performance can…

Multiagent Systems · Computer Science 2020-10-27 Y. Efe Erginbas , Stefan Vlaski , Ali H. Sayed

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…

Optimization and Control · Mathematics 2015-04-23 Cao Ping , Xie Jingui

Robustness of routing policies for networks is a central problem which is gaining increased attention with a growing awareness to safeguard critical infrastructure networks against natural and man-induced disruptions. Routing under limited…

Systems and Control · Computer Science 2012-05-02 Giacomo Como , Ketan Savla , Daron Acemoglu , Munther A. Dahleh , Emilio Frazzoli

We propose a technique for the design and analysis of adaptation algorithms in dynamical systems. The technique applies both to systems with conventional Lyapunov-stable target dynamics and to ones of which the desired dynamics around the…

Optimization and Control · Mathematics 2007-05-23 Tyukin Ivan , Danil Prokhorov , Cees van Leeuwen

In the pursuit of autonomous spacecraft proximity maneuvers and docking(PMD), we introduce a novel Bayesian actor-critic reinforcement learning algorithm to learn a control policy with the stability guarantee. The PMD task is formulated as…

Robotics · Computer Science 2024-05-24 Desong Du , Naiming Qi , Yanfang Liu , Wei Pan

Every irreducible discrete-time linear switching system possesses an invariant convex Lyapunov function (Barabanov norm), which provides a very refined analysis of trajectories. Until recently that notion remained rather theoretical apart…

Optimization and Control · Mathematics 2021-09-28 Vladimir Yu. Protasov

Experimental demonstration of complex robotic behaviors relies heavily on finding the correct controller gains. This painstaking process is often completed by a domain expert, requiring deep knowledge of the relationship between parameter…

Robotics · Computer Science 2022-03-03 Noel Csomay-Shanklin , Maegan Tucker , Min Dai , Jenna Reher , Aaron D. Ames

The region of attraction is a key metric of the robustness of systems. This paper addresses the numerical solution of the generalized Zubov's equation, which produces a special Lyapunov function characterizing the robust region of…

Systems and Control · Electrical Eng. & Systems 2025-08-28 Junkai Wang , Yuxuan Zhao , Mi Zhou , Fumin Zhang

Non-linear dynamical systems represent a compact, flexible, and robust tool for reactive motion generation. The effectiveness of dynamical systems relies on their ability to accurately represent stable motions. Several approaches have been…

Robotics · Computer Science 2020-06-01 Matteo Saveriano

Feedback dynamic routing is a commonly used control strategy in transportation systems. This class of control strategies relies on real-time information about the traffic state in each link. However, such information may not always be…

Systems and Control · Electrical Eng. & Systems 2020-03-16 Qian Xie , Li Jin

In this paper, we propose a reinforcement learning-based algorithm for trajectory optimization for constrained dynamical systems. This problem is motivated by the fact that for most robotic systems, the dynamics may not always be known.…

Machine Learning · Statistics 2020-03-05 Kei Ota , Devesh K. Jha , Tomoaki Oiki , Mamoru Miura , Takashi Nammoto , Daniel Nikovski , Toshisada Mariyama

Understanding traffic statics and dynamics in urban networks is critical to develop effective control and management strategies. In this paper, we provide a novel approach to study the traffic statics and dynamics in a signalized…

Dynamical Systems · Mathematics 2015-06-11 Qi-Jian Gan , Wen-Long Jin , Vikash V. Gayah

Previous studies have shown that, in a diverge-merge network with two intermediate links (the DM network), the kinematic wave model always admits stationary solutions under constant boundary conditions, but periodic oscillations can develop…

Dynamical Systems · Mathematics 2013-07-30 Wen-Long Jin

This technical note studies Lyapunov-like conditions to ensure a class of dynamical systems to exhibit predefined-time stability. The origin of a dynamical system is predefined-time stable if it is fixed-time stable and an upper bound of…

This paper addresses the stability problem for discrete-time switched systems under autonomous switching. Each mode of the switched system is modeled as a Linear Parameter Varying (LPV) system, the time-varying parameters can vary…

Systems and Control · Electrical Eng. & Systems 2020-05-13 Márcio J. Lacerda , Cristiano M. Agulhari

This paper considers the problem of decentralized goal assignment and trajectory generation for multi-robot networks when only local communication is available, and proposes an approach based on methods related to switched systems and set…

Multiagent Systems · Computer Science 2019-10-04 Dimitra Panagou , Matthew Turpin , Vijay Kumar