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This paper is devoted to the exponential stability for one-dimensional linear wave equations with in-domain localized damping and several types of Wentzell (or dynamic) boundary conditions. In a quite general boundary setting, we establish…

Analysis of PDEs · Mathematics 2025-03-31 Abdelhakim Dahmani , Yacine Chitour , Hoai-Minh Nguyen , Christophe Roman

Controllers are often designed based on a reduced or simplified model of the plant dynamics. In this context, we investigate whether it is possible to synthesize a stabilizing event-triggered feedback law for networked control systems (NCS)…

Systems and Control · Computer Science 2014-08-26 Mahmoud Abdelrahim , Romain Postoyan , Jamal Daafouz

We introduce a dynamic event-triggering mechanism for regulating the axonal growth of a neuron. We apply boundary actuation at the soma (the part of a neuron that contains the nucleus) and regulate the dynamics of tubulin concentration and…

Optimization and Control · Mathematics 2024-03-19 Cenk Demir , Shumon Koga , Miroslav Krstic

We study distributed estimation of a high-dimensional static parameter vector through a group of sensors whose communication network is modeled by a fixed directed graph. Different from existing time-triggered communication schemes, an…

Systems and Control · Electrical Eng. & Systems 2021-08-10 Xingkang He , Yu Xing , Junfeng Wu , Karl H. Johansson

We propose a distributed event-triggered control law to solve the consensus problem for multi-agent systems with nonlinear output. Under the condition that the underlying digraph is strongly connected, we propose some sufficient conditions…

Systems and Control · Computer Science 2019-04-16 Xinlei Yi , Shengjun Zhang , Tao Yang , Junfeng Wu , Karl H. Johansson

This paper presents distributed algorithmic solutions that employ opportunistic inter-agent communication to achieve dynamic average consensus. In our solutions each agent is endowed with a local criterion that enables it to determine…

Optimization and Control · Mathematics 2015-03-03 Solmaz S. Kia , Jorge Cortes , Sonia Martinez

In this paper we consider a multi-dimensional wave equation with dynamic boundary conditions related to the Kelvin-Voigt damping and a delay term acting on the boundary. If the weight of the delay term in the feedback is less than the…

Analysis of PDEs · Mathematics 2012-06-06 Stéphane Gerbi , Said-Houari Belkacem

The purpose of this work is to investigate the exponential stability of a second order coupled wave equations by laplacian with one locally internal viscous damping. Firstly, using a unique continuation theorem combined with a Carleman…

Analysis of PDEs · Mathematics 2023-02-20 Mohammad Akil , Mohamed Balegh , Zayd Hajjej

We propose a selfconsistent quantum mechanical approach to study the dynamics of a two-level system subject to random time evolution. This randomness gives rise to competing effects between dissipative and non-dissipative decoherence with a…

Quantum Physics · Physics 2009-11-07 Stefano Mancini , Rodolfo Bonifacio

We consider a network of event-based systems that use a shared wireless medium to communicate with their respective controllers. These systems use a contention resolution mechanism to arbitrate access to the shared network. We identify…

Systems and Control · Computer Science 2014-01-21 Chithrupa Ramesh , Henrik Sandberg , Karl H. Johansson

Event-triggered control has shown the potential for providing improved control performance at the same average sampling rate when compared to time-triggered control. While this observation motivates numerous event-triggered control schemes,…

Systems and Control · Electrical Eng. & Systems 2024-05-01 David Meister , Frank Aurzada , Mikhail A. Lifshits , Frank Allgöwer

This paper analyzes the asymptotic behavior of inter-event times in planar linear systems, under event-triggered control with a general class of scale-invariant event triggering rules. In this setting, the inter-event time is a function of…

Systems and Control · Electrical Eng. & Systems 2024-04-02 Anusree Rajan , Pavankumar Tallapragada

This paper studies the tracking control problem of networked and quantized control systems under both multiple networks and event-triggered mechanisms. Multiple networks are to connect the plant and reference system with decentralized…

Systems and Control · Electrical Eng. & Systems 2021-10-20 Wei Ren , Dimos V. Dimarogonas , Raphael Jungers

Event-triggered model predictive control (eMPC) is a popular optimal control method with an aim to alleviate the computation and/or communication burden of MPC. However, it generally requires priori knowledge of the closed-loop system…

Robotics · Computer Science 2022-08-23 Fengying Dang , Dong Chen , Jun Chen , Zhaojian Li

We consider dynamical behavior of non-autonomous wave-type evolutionary equations with nonlinear damping, critical nonlinearity, and time-dependent external forcing which is translation bounded but not translation compact (i.e., external…

Dynamical Systems · Mathematics 2009-11-11 Chunyou Sun , Daomin Cao , Jinqiao Duan

In this paper, we investigate stability of a class of analytic neural networks with the synaptic feedback via event-triggered rules. This model is general and include Hopfield neural network as a special case. These event-trigger rules can…

Neural and Evolutionary Computing · Computer Science 2016-11-18 Ren Zheng , Xinlei Yi , Wenlian Lu , Tianping Chen

The simulation of a wave propagation caused by seismic stimulation allows to study the behaviour of the environment and to evaluate the consequences. The model involves the wave equation with a hysteresis loop in the stress-strain…

Event-triggered and self-triggered control have been proposed in recent years as promising control strategies to reduce communication resources in Networked Control Systems (NCSs). Based on the notion of set-invariance theory, this note…

Optimization and Control · Mathematics 2018-01-18 Kazumune Hashimoto , Dimos V. Dimarogonas , Shuichi Adachi

This work is concerned with the problem of distributed resource allocation in continuous-time setting but with discrete-time communication over infinitely jointly connected and balanced digraphs. We provide a passivity-based perspective for…

Multiagent Systems · Computer Science 2021-01-18 Lanlan Su , Mengmou Li , Vijay Gupta , Graziano Chesi

We study the global well-posedness and asymptotic behavior for a semilinear damped wave equation with Neumann boundary conditions, modelling a one-dimensional linearly elastic body interacting with a rigid substrate through an adhesive…

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