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This article aims at providing a unified analysis of the exponential stabilization of some abstract infinite dimensional systems undergoing an event-triggering mechanism that samples the control input. The partial differential equation is…

Analysis of PDEs · Mathematics 2025-08-11 Lucie Baudouin , Sylvain Ervedoza

Dataset distillation offers a potential means to enhance data efficiency in deep learning. Recent studies have shown its ability to counteract backdoor risks present in original training samples. In this study, we delve into the theoretical…

Machine Learning · Computer Science 2025-06-03 Ming-Yu Chung , Sheng-Yen Chou , Chia-Mu Yu , Pin-Yu Chen , Sy-Yen Kuo , Tsung-Yi Ho

We propose a novel fine-tuning method to achieve multi-operator learning through training a distributed neural operator with diverse function data and then zero-shot fine-tuning the neural network using physics-informed losses for…

Machine Learning · Computer Science 2024-11-12 Zecheng Zhang , Christian Moya , Lu Lu , Guang Lin , Hayden Schaeffer

In this paper, stability of linearly coupled dynamical systems with feedback pinning algorithm is studied. Here, both the coupling matrix and the set of pinned-nodes vary with time, induced by a continuous-time Markov chain with finite…

Optimization and Control · Mathematics 2015-02-03 Wenlian Lu , Yujuan Han , Tiaping Chen

Common event-triggered state estimation (ETSE) algorithms save communication in networked control systems by predicting agents' behavior, and transmitting updates only when the predictions deviate significantly. The effectiveness in…

Systems and Control · Computer Science 2018-09-28 Friedrich Solowjow , Dominik Baumann , Jochen Garcke , Sebastian Trimpe

This paper proposes a framework to design an event-triggered based robust control law for linear uncertain system. The robust control law is realized through both static and dynamic event-triggering approach to reduce the computation and…

Optimization and Control · Mathematics 2015-09-08 Niladri Sekhar Tripathy , I. N. Kar , Kolin Paul

The present paper deals with data-driven event-triggered control of a class of unknown discrete-time interconnected systems (a.k.a. network systems). To this end, we start by putting forth a novel distributed event-triggering transmission…

Systems and Control · Electrical Eng. & Systems 2023-09-15 Xin Wang , Jian Sun , Gang Wang , Frank Allgöwer , Jie Chen

This paper deals with event-triggered parameterized control (ETPC) of nonlinear systems with external disturbances. In this control method, between two successive events, each control input to the plant is a linear combination of a set of…

Optimization and Control · Mathematics 2024-07-03 Anusree Rajan , Pavankumar Tallapragada

In the context of event-triggered control, the timing of the triggering events carries information about the state of the system that can be used for stabilization. At each triggering event, not only can information be transmitted by the…

Systems and Control · Computer Science 2019-10-03 Mohammad Javad Khojasteh , Mojtaba Hedayatpour , Massimo Franceschetti

This paper addresses the problem of collaborative formation control for multi-agent systems with limited resources. We consider a team of robots tasked with achieving a desired formation from an arbitrary initial configuration. To reduce…

Robotics · Computer Science 2026-04-07 Evangelos Psomiadis , Panagiotis Tsiotras

In this paper, a delay compensation design method based on PDE backstepping is developed for a two-dimensional reaction-diffusion partial differential equation (PDE) with bilateral input delays. The PDE is defined in a rectangular domain,…

Optimization and Control · Mathematics 2023-07-10 Dandan Guan , Yanmei Chen , Jie Qi , Linglong Du

This paper revisits the event-triggered control problem from a data-driven perspective, where unknown continuous-time linear systems subject to disturbances are taken into account. Using data information collected off-line instead of…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Tao Xu , Zhiyong Sun , Guanghui Wen , Zhisheng Duan

This paper deals with the gradient-based extremum seeking control (ESC) with actuation dynamics governed by distributed wave partial differential equations (PDEs). To achieve the control objective of real-time optimization for this class of…

Optimization and Control · Mathematics 2026-01-07 Elisio Juvenal Muchave , Pedro Henrique Silva Coutinho , Tiago Roux Oliveira , Miroslav Krstić

This paper addresses the problem of event-triggered control for infinite-dimensional systems. We employ event-triggering mechanisms that compare the plant state and the error of the control input induced by the event-triggered…

Optimization and Control · Mathematics 2019-12-02 Masashi Wakaiki , Hideki Sano

The dynamic membrane potential threshold, as one of the essential properties of a biological neuron, is a spontaneous regulation mechanism that maintains neuronal homeostasis, i.e., the constant overall spiking firing rate of a neuron. As…

Robotics · Computer Science 2023-06-21 Jianchuan Ding , Bo Dong , Felix Heide , Yufei Ding , Yunduo Zhou , Baocai Yin , Xin Yang

We present a prescriptive framework for the event-triggered control of nonlinear systems. Rather than closing the loop periodically, as traditionally done in digital control, in event-triggered implementations the loop is closed according…

Optimization and Control · Mathematics 2011-08-30 Romain Postoyan , Adolfo Anta , Dragan Nesic , Paulo Tabuada

Deep neural networks (DNNs), trained with gradient-based optimization and backpropagation, are currently the primary tool in modern artificial intelligence, machine learning, and data science. In many applications, DNNs are trained offline,…

Machine Learning · Computer Science 2024-02-02 Jacob G. Elkins , Farbod Fahimi

In this paper, we present a model-based periodic event-triggered control mechanism for nonlinear continuous-time Networked Control Systems. A sampled-data prediction of the system behavior is used at the actuator to reduce the amount of…

Systems and Control · Electrical Eng. & Systems 2020-02-03 Michael Hertneck , Steffen Linsenmayer , Frank Allgöwer

In this paper, we study the problem of hybrid event-triggered control for a class of nonlinear time-delay systems. Using a Razumikhin-type input-to-state stability result for time-delay systems, we design an event-triggered control…

Systems and Control · Electrical Eng. & Systems 2022-06-09 Kexue Zhang , Bahman Gharesifard

We propose a novel approach based on Denoising Diffusion Probabilistic Models (DDPMs) to control nonlinear dynamical systems. DDPMs are the state-of-art of generative models that have achieved success in a wide variety of sampling tasks. In…

Optimization and Control · Mathematics 2024-02-06 Karthik Elamvazhuthi , Darshan Gadginmath , Fabio Pasqualetti
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