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Open AccessJournal ArticleDOI

Event-triggered damping of a linear wave equation

Lucie Baudouin, +2 more
- 01 Jan 2019 - 
- Vol. 52, Iss: 2, pp 58-63
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TLDR
In this article, an event-triggered distributed damping mechanism for a closed-loop partial differential wave equation is proposed, where the damping term is distributed in the whole domain, and sufficient conditions based on the use of a suitable Lyapunov functional are proposed to guarantee the exponential stability.
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This article is published in IFAC-PapersOnLine.The article was published on 2019-01-01 and is currently open access. It has received 19 citations till now. The article focuses on the topics: Exponential stability & Wave equation.

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Citations
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Event-triggered boundary control of a continuum model of highly re-entrant manufacturing systems

TL;DR: In this paper, an event-triggered boundary controller for a closed-loop manufacturing system with a nonlinear hyperbolic partial differential equation is proposed, and robustness of the proposed controller with respect to the sampling schedule and sampled data stabilization results are established.
Journal ArticleDOI

Observer-Based Event-Triggered Boundary Control of a Class of Reaction–Diffusion PDEs

TL;DR: In this paper , an observer-based event-triggered boundary control strategy for a class of reaction-diffusion partial differential equations with Robin actuation is presented, where the observer only requires boundary measurements.
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Event-Triggered Control of a Continuum Model of Highly Re-Entrant Manufacturing System.

TL;DR: This work designs an event-triggered boundary controller for a continuum model of highly re-entrant manufacturing systems for which the influx rate of products is the controlled quantity.
Journal ArticleDOI

Rapid Exponential Stabilization of Nonlinear Wave Equation Derived from Brain Activity via Event-Triggered Impulsive Control

TL;DR: In this article, an event-triggered impulsive control (ETIC) method was designed to solve the rapid exponential stabilization of a class of damped wave equations derived from brain activity.
References
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Journal ArticleDOI

Event-Triggered Real-Time Scheduling of Stabilizing Control Tasks

TL;DR: This note investigates a simple event-triggered scheduler based on the paradigm that a real-time scheduler could be regarded as a feedback controller that decides which task is executed at any given instant and shows how it leads to guaranteed performance thus relaxing the more traditional periodic execution requirements.
Journal ArticleDOI

Hybrid dynamical systems

TL;DR: In this paper, the authors present a tutorial on modeling the dynamics of hybrid systems, on the elements of stability theory for hybrid systems and on the basics of hybrid control, focusing on the robustness of asymptotic stability to data perturbation, external disturbances and measurement error.
Journal ArticleDOI

Exact controllability, stabilization and perturbations for distributed systems

Jacques-Louis Lions
- 01 Mar 1988 - 
TL;DR: In this paper, a systematic method (called HUM, for Hilbert Uniqueness Method) is introduced for exact controllability of distributed systems, of hyperbolic type or for Petrowsky systems (like plate equations).
Journal ArticleDOI

Periodic event-triggered control for nonlinear systems

TL;DR: The PETC strategies developed in this paper apply to both static state-feedback and dynamical output-based controllers, as well as to both centralized and decentralized (periodic) event-triggering conditions.
Journal ArticleDOI

Comparison of Periodic and Event Based Sampling for First-Order Stochastic Systems

TL;DR: This paper investigates some simple first order systems with event based sampling and compares achieved closed loop variance and sampling rate with results from periodic sampling and shows that event based sampled gives better performance than periodic sampling.
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