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We investigate trend to equilibrium for the damped wave equation with a confining potential in the Euclidean space. We provide with necessary and sufficient geometric conditions for the energy to decay exponentially uniformly. The proofs…

Analysis of PDEs · Mathematics 2024-06-26 Antoine Prouff

In this paper, we study the event-triggered global robust practical output regulation problem for a class of nonlinear systems in output feedback form with any relative degree. Our approach consists of the following three steps. First, we…

Optimization and Control · Mathematics 2018-03-06 Wei Liu , Jie Huang

In this paper, we propose an event-based sampling policy to implement a constraint-tightening, robust MPC method. The proposed policy enjoys a computationally tractable design and is applicable to perturbed, linear time-invariant systems…

Optimization and Control · Mathematics 2021-05-11 Arman Sharifi Kolarijani , Sander Bregman , Peyman Mohajerin Esfahani , Tamas Keviczky

This paper presents a class of event-triggering rules for dynamical control systems with guaranteed positive minimum inter-event time (MIET). We first propose an event-based function design with guaranteed control performance under a…

Systems and Control · Electrical Eng. & Systems 2020-05-06 Xing Chu , Na Huang , Zhiyong Sun

This paper proposes a novel distributed event-triggered algorithmic solution to the multi-agent average consensus problem for networks whose communication topology is described by weight-balanced, strongly connected digraphs. The proposed…

Optimization and Control · Mathematics 2015-07-09 Cameron Nowzari , Jorge Cortes

We develop an event-triggered control strategy for a weighted-unbalanced directed homogeneous robot network to reach a dynamic consensus in this work. We present some guarantees for synchronizing a robot network when all robots have access…

Robotics · Computer Science 2021-08-24 Juan D. Pabon , Gustavo A. Cardona , Nestor I. Ospina , Juan Calderon , Eduardo Mojica-Nava

This paper proposes a robust self-triggered distributed model predictive control (DMPC) scheme for a family of Discrete-Time linear systems with local (uncoupled) and global (coupled) constraints. To handle the additive disturbance,…

Systems and Control · Electrical Eng. & Systems 2020-12-17 Zhengcai Li

We study the problem of periodic event-triggered control of interconnected port-Hamiltonian systems subject to time-varying delays in their communication. In particular, we design a threshold parameter for the event-triggering condition, a…

Systems and Control · Electrical Eng. & Systems 2022-07-14 Ernesto Aranda-Escolástico , Leonardo J. Colombo , María Guinaldo , Antonio Visioli

In this article, we prove the exponential stabilization of the semilinear wave equation with a damping effective in a zone satisfying the geometric control condition only. The nonlinearity is assumed to be subcritical, defocusing and…

Analysis of PDEs · Mathematics 2013-12-03 Romain Joly , Camille Laurent

An event-triggered control technique for consensus of multi-agent systems with general linear dynamics is presented. This paper extends previous work to consider agents that are connected using directed graphs. Additionally, the approach…

Optimization and Control · Mathematics 2015-02-13 Eloy Garcia , Yongcan Cao , Xiaofeng Wang , David W. Casbeer

With the gradual advancement of a novel idea of the distributed control of the multiagent systems, an event-triggered control protocol has received significant research attention, especially in designing the controller for the nonlinear…

Multiagent Systems · Computer Science 2022-01-04 Gurmu Meseret Debele

This paper studies the optimal output consensus problem for a group of heterogeneous linear multi-agent systems. Different from existing results, we aim at effective controllers for these high-order agents under both event-triggered control…

Systems and Control · Electrical Eng. & Systems 2022-12-27 Yutao Tang , Huaihui Liu , Ruonan Li , Kui Zhu

It has been argued that Event Calculus (EC) is suitable for modeling high-level specifications of safety-critical cyber-physical systems. The primary advantage lies in the rather small semantic gap between EC models and requirements…

Logic in Computer Science · Computer Science 2026-01-08 Ondřej Vašíček , Joaquin Arias , Jan Fiedor , Gopal Gupta , Brendan Hall , Bohuslav Křena , Brian Larson , Tomáš Vojnar

This study focuses on periodic event-triggered (PET) cooperative output regulation problem for a class of nonlinear multi-agent systems. The key feature of PET mechanism is that event-triggered conditions are required to be monitored only…

Systems and Control · Electrical Eng. & Systems 2022-01-05 Shiqi Zheng , Peng Shi , Huiyan Zhang

This paper addresses the following question: "Suppose that a state-feedback controller stabilizes an infinite-dimensional linear continuous-time system. If we choose the parameters of an event/self-triggering mechanism appropriately, is the…

Optimization and Control · Mathematics 2022-07-05 Masashi Wakaiki , Hideki Sano

In our manuscript, we develop a new approach for stability analysis of one-dimensional wave equation with time delay. The major contribution of our work is to develop a new method for spectral analysis. We derive sufficient and necessary…

Analysis of PDEs · Mathematics 2023-07-28 Shijie Zhou , Hongyinping Feng , Zhiqiang Wang

This paper proposes Asynchronous Triggered Gradient Tracking, i.e., a distributed optimization algorithm to solve consensus optimization over networks with asynchronous communication. As a building block, we devise the continuous-time…

Optimization and Control · Mathematics 2023-09-13 Guido Carnevale , Ivano Notarnicola , Lorenzo Marconi , Giuseppe Notarstefano

In this paper, we propose a novel sampling control framework based on the emulation technique where the sampling error is regarded as an auxiliary input to the emulated system. Utilizing the supremum norm of sampling error, the design of…

Optimization and Control · Mathematics 2022-05-02 Lijun Zhu , Zhiyong Chen

This paper is concerned with the study of the wave equation on compact surfaces and locally distributed damping. We study the case where the damping is effective in a well-chosen subset of arbitrarily small measure.

Analysis of PDEs · Mathematics 2008-11-10 M. M. Cavalcanti , V. N. Domingos Cavalcanti , R. Fukuoka , J. A. Soriano

We propose self-triggered control schemes for nonlinear systems with quantized state measurements. Our focus lies on scenarios where both the controller and the self-triggering mechanism receive only the quantized state at each sampling…

Optimization and Control · Mathematics 2025-04-08 Masashi Wakaiki