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This article presents an analysis of the stabilization of a multidimensional partial differential wave equation under a well designed event-triggering mechanism that samples the boundary control input. The wave equation is set in a bounded…

Optimization and Control · Mathematics 2023-03-02 Lucie Baudouin , Swann Marx , Sophie Tarbouriech , Julie Valein

This paper aims at proposing a sufficient matrix inequality condition to carry out the global exponential stability of the wave equation under an event-triggering mechanism that updates a damping source term. The damping is distributed in…

Analysis of PDEs · Mathematics 2021-07-02 Florent Koudohode , Lucie Baudouin , Sophie Tarbouriech

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

This paper studies the problem of stabilization of a nonlinear system with time-varying delays in both sensing and actuation using event-triggered control. Our proposed strategy seeks to opportunistically minimize the number of control…

Systems and Control · Computer Science 2020-01-14 Erfan Nozari , Pavankumar Tallapragada , Jorge Cortés

This article studies the event-triggered control problem of general nonlinear systems with time delay. A novel event-triggering scheme is presented with two tunable design parameters, based on a Lyapunov functional result for the…

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

This paper studies the event-triggered control problem for time-delay systems. A novel event-triggering scheme is proposed to exponentially stabilize a class of linear time-delay systems. By employing a new Halanay-type inequality and the…

Optimization and Control · Mathematics 2023-08-17 Kexue Zhang

In this paper, we present a new class of event triggering mechanisms for event-triggered control systems. This class is characterized by the introduction of an internal dynamic variable, which motivates the proposed name of dynamic event…

Systems and Control · Computer Science 2014-09-15 Antoine Girard

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

This paper proposes an event-triggered parameterized control method using a control Lyapunov function approach for discrete time linear systems with external disturbances. In this control method, each control input to the plant is a linear…

Optimization and Control · Mathematics 2024-11-20 Anusree Rajan , Kushagra Parmeshwar , Pavankumar Tallapragada

This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based on a Lyapunov-Krasovskii type input-to-state stability result, we propose a novel event-triggered control algorithm that works as…

Optimization and Control · Mathematics 2022-12-16 Kexue Zhang , Elena Braverman , Bahman Gharesifard

This paper proposes an event-triggered control scheme for multivariable extremum seeking of static maps. Both static and dynamic triggering conditions are developed. Integrating Lyapunov and averaging theories for discontinuous systems, a…

Optimization and Control · Mathematics 2023-12-15 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Liu Hsu , Mamadou Diagne , Miroslav Krstic

The paper proposes a novel event-triggered control scheme for nonlinear systems based on the input-delay method. Specifically, the closed-loop system is associated with a pair of auxiliary input and output. The auxiliary output is defined…

Systems and Control · Computer Science 2020-10-23 Lijun Zhu , Zhiyong Chen , David J. Hill , Shengli Du

In this paper, we propose a new aperiodic formulation of model predictive control for nonlinear continuous-time systems. Unlike earlier approaches, we provide event-triggered conditions without using the optimal cost as a Lyapunov function…

Optimization and Control · Mathematics 2017-03-16 Kazumune Hashimoto , Shuichi Adachi , Dimos V. Dimarogonas

This paper addresses the dynamic event-triggered control for a class of discrete-time nonlinear systems described by a difference-algebraic representation (DAR), using a gain-scheduled controller. An outstanding aspect of the proposed…

Systems and Control · Electrical Eng. & Systems 2026-05-15 Vitoriano Casas , Gabriela Reis , Pedro Henrique Coutinho , Iury Bessa , Rodrigo Araújo

With the unceasing growth of intelligent production lines that integrate sensors, actuators, and controllers in a wireless communication environment via internet of things (IoT), we design an event-triggered boundary controller for a…

Optimization and Control · Mathematics 2020-04-07 Mamadou Diagne , Iasson Karafyllis

This paper studies impulsive stabilization of nonlinear systems. We propose two types of event-triggering algorithms to update the impulsive control signals with actuation delays. The first algorithm is based on continuous event detection,…

Optimization and Control · Mathematics 2022-12-16 Kexue Zhang , Elena Braverman

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

This study addresses the intricate challenge of decentralized output-feedback control for stochastic non-triangular nonlinear interconnected systems with unknown time-varying sensor sensitivity in a dynamic event-triggered context. The…

Systems and Control · Electrical Eng. & Systems 2024-12-06 Libei Sun , Yongduan Song , Maolong Lv

The objective is to design distributed coordination strategies for a network of agents in a cyber-physical environment. In particular, we concentrate on the rendez-vous of agents having double-integrator dynamics with the addition of a…

Optimization and Control · Mathematics 2015-10-02 Claudio de Persis , Romain Postoyan

This work deals with the event-triggered finite-time control for high-order systems based on an implicit Lyapunov function (ILF). With the construction of an inverse optimal problem, a novel expression of ILF is obtained. By designing the…

Optimization and Control · Mathematics 2022-11-10 Peng Wang , Shuzhi Sam Ge , Xiaobing Zhang
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