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We present consensus analysis of systems with single integrator dynamics interacting via time-varying graphs under the event-triggered control paradigm. Event-triggered control sparsifies the control applied, thus reducing the control…

Systems and Control · Computer Science 2017-05-03 S. Arun Kumar , N. R. Chowdhury , S. Srikant , J. Raisch

Spiking neural networks (SNNs) promise orders-of-magnitude efficiency gains by communicating with sparse, event-driven spikes rather than dense numerical activations. However, most training pipelines either rely on surrogate-gradient…

Neural and Evolutionary Computing · Computer Science 2025-12-17 Arman Ferdowsi , Atakan Aral

The Hopfield recurrent neural network is a classical auto-associative model of memory, in which collections of symmetrically-coupled McCulloch-Pitts neurons interact to perform emergent computation. Although previous researchers have…

Adaptation and Self-Organizing Systems · Physics 2015-06-09 Christopher Hillar , Ngoc M. Tran

Understanding the theoretical foundations of how memories are encoded and retrieved in neural populations is a central challenge in neuroscience. A popular theoretical scenario for modeling memory function is the attractor neural network…

Neurons and Cognition · Quantitative Biology 2016-02-17 Alireza Alemi , Carlo Baldassi , Nicolas Brunel , Riccardo Zecchina

In this paper we study robust synchronization of time-fractional Hopfield neural networks with memristive couplings and Hebbian learning rules. This new model of artificial neural networks exhibits strong memory and long-range…

Analysis of PDEs · Mathematics 2025-10-27 Yuncheng You

Learning or memory formation are associated with the strengthening of the synaptic connections between neurons according to a pattern reflected by the input. According to this theory a retained memory sequence is associated to a dynamic…

Dynamical Systems · Mathematics 2016-03-23 Pascal Chossat , Martin Krupa

We report on both analytical and numerical results concerning stochastic Hopfield--like neural automata exhibiting the following (biologically inspired) features: (1) Neurons and synapses evolve in time as in contact with respective baths…

Statistical Mechanics · Physics 2007-05-23 J. J. Torres , J. Marro , P. L. Garrido , J. M. Cortes , F. Ramos , M. A. Munoz

We present a data-based approach to design event-triggered state-feedback controllers for unknown continuous-time linear systems affected by disturbances. By an event, we mean state measurements transmission from the sensors to the…

Systems and Control · Electrical Eng. & Systems 2022-08-25 Claudio De Persis , Romain Postoyan , Pietro Tesi

We show that in a drive-response coupling framework extreme events are suppressed in the response system by the dominance of a single driving signal. We validate this approach across three distinct response network topologies, namely (i) a…

Chaotic Dynamics · Physics 2026-02-03 R. Shashangan , S. Sudharsan , Dibakar Ghosh , M. Senthilvelan

In this paper, we study the robustness of the event-triggered consensus algorithms against frequency-domain uncertainties. It is revealed that the sampling errors resulted by event triggering are essentially images of linear finite-gain…

Systems and Control · Electrical Eng. & Systems 2022-03-07 Shiqi Zhang , Zhongkui Li

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

We study the asymptotic behavior for asymmetric neuronal dynamics in a network of linear Hopfield neurons. The interaction between the neurons is modeled by random couplings which are centered i.i.d. random variables with finite moments of…

Probability · Mathematics 2020-06-08 Olivier Faugeras , Émilie Soret , Etienne Tanré

This paper considers the distributed event-triggered consensus problem for general linear multi-agent networks. Both the leaderless and leader-follower consensus problems are considered. Based on the local sampled state or local output…

Systems and Control · Computer Science 2018-07-17 Bin Cheng , Zhongkui Li

This paper investigates stability conditions of continuous-time Hopfield and firing-rate neural networks by leveraging contraction theory. First, we present a number of useful general algebraic results on matrix polytopes and products of…

Optimization and Control · Mathematics 2023-05-16 Veronica Centorrino , Anand Gokhale , Alexander Davydov , Giovanni Russo , Francesco Bullo

We present a framework for model-free learning of event-triggered control strategies. Event-triggered methods aim to achieve high control performance while only closing the feedback loop when needed. This enables resource savings, e.g.,…

Systems and Control · Electrical Eng. & Systems 2021-04-26 Niklas Funk , Dominik Baumann , Vincent Berenz , Sebastian Trimpe

In this paper, we study consensus problem in multi-agent system with directed topology by event-triggered feedback control. That is, at each agent, the diffusion coupling feedbacks are based on the information from its latest observations…

Adaptation and Self-Organizing Systems · Physics 2015-04-07 Xinlei Yi , Wenlian Lu , Tianping Chen

We consider continuous time Hopfield-like recurrent networks as dynamical models for gene regulation and neural networks. We are interested in networks that contain n high-degree nodes preferably connected to a large number of Ns weakly…

Molecular Networks · Quantitative Biology 2016-08-03 Sergei Vakulenko , Ivan Morozov , Ovidiu Radulescu

Event cameras, with their high dynamic range and temporal resolution, are ideally suited for object detection, especially under scenarios with motion blur and challenging lighting conditions. However, while most existing approaches…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Ziming Wang , Ziling Wang , Huaning Li , Lang Qin , Runhao Jiang , De Ma , Huajin Tang

It is reported that financial news, especially financial events expressed in news, provide information to investors' long/short decisions and influence the movements of stock markets. Motivated by this, we leverage financial event streams…

Statistical Finance · Quantitative Finance 2020-10-30 Xianchao Wu

The ubiquitous interdependencies among higher-dimensional states of neighboring agents can be characterized by matrix-weighted networks. This paper examines event-triggered global consensus of matrix-weighted networks subject to actuator…

Systems and Control · Electrical Eng. & Systems 2021-10-27 Lulu Pan , Haibin Shao , Yuanlong Li , Dewei Li , Yugeng Xi