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We study the dynamics of perturbations in time delayed dynamical systems. Using a suitable space-time coordinate transformation, we find that the time evolution of the linearized perturbations (Lyapunov vector) can be mapped to the linear…

Statistical Mechanics · Physics 2009-11-10 Alejandro D. Sanchez , Juan M. Lopez , Miguel A. Rodriguez , Manuel A. Matias

This paper addresses the problem of event-triggered control for infinite-dimensional systems. We employ event-triggering mechanisms that compare the plant state and the error of the control input induced by the event-triggered…

Optimization and Control · Mathematics 2019-12-02 Masashi Wakaiki , Hideki Sano

In this paper, we concentrate on the exponential stabilization of stochastic nonlinear systems. Different from the single event-triggering mechanism in traditional deterministic/stochastic control systems, based on two stopping time…

Dynamical Systems · Mathematics 2023-06-01 Xuetao Yang , Quanxin Zhu

In this paper, an event-triggered control protocol is developed to investigate flocking control of Lagrangian systems, where event-triggering conditions are proposed to determine when the velocities of the agents are transmitted to their…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Ernesto Aranda-Escolástico , Leonardo J. Colombo , María Guinaldo

This technical note studies Lyapunov-like conditions to ensure a class of dynamical systems to exhibit predefined-time stability. The origin of a dynamical system is predefined-time stable if it is fixed-time stable and an upper bound of…

This paper deals with the gradient-based extremum seeking control (ESC) with actuation dynamics governed by distributed wave partial differential equations (PDEs). To achieve the control objective of real-time optimization for this class of…

Optimization and Control · Mathematics 2026-01-07 Elisio Juvenal Muchave , Pedro Henrique Silva Coutinho , Tiago Roux Oliveira , Miroslav Krstić

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

This paper deals with an event-triggered boundary control of constant-parameters reaction-diffusion PDE systems. The approach relies on the emulation of backstepping control along with a suitable triggering condition which establishes the…

Systems and Control · Electrical Eng. & Systems 2019-09-24 Nicolas Espitia , Iasson Karafyllis , Miroslav Krstic

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

This paper develops a distributed primal-dual algorithm via event-triggered mechanism to solve a class of convex optimization problems subject to local set constraints, coupled equality and inequality constraints. Different from some…

Optimization and Control · Mathematics 2022-10-27 Yi Huang , Xianlin Zeng , Ziyang Meng , Jian Sun

In this article, we develop a new adaptive event-triggered asymptotic control scheme for strict-feedback systems with fast time-varying parameters. To deal with time-varying parameters with unknown variation boundaries in the feedback path…

Systems and Control · Electrical Eng. & Systems 2023-12-12 Yan Tan , Liucang Wu , Wenqi Liu

We introduce the notion of Lyapunov exponents for random dynamical systems, conditioned to trajectories that stay within a bounded domain for asymptotically long times. This is motivated by the desire to characterize local dynamical…

Dynamical Systems · Mathematics 2019-07-16 Maximilian Engel , Jeroen S. W. Lamb , Martin Rasmussen

This paper studies performance preserving event design in nonlinear event-based control systems based on a local L2-type performance criterion. Considering a finite gain local L2-stable disturbance driven continuous-time system, we propose…

Systems and Control · Electrical Eng. & Systems 2024-09-23 Mohsen Ghodrat , Horacio J Marquez

In this paper we develop novel results on self triggering control of nonlinear systems, subject to perturbations and actuation delays. First, considering an unperturbed nonlinear system with bounded actuation delays, we provide conditions…

Optimization and Control · Mathematics 2011-08-29 M. D. Di Benedetto , S. Di Gennaro , A. D'Innocenzo

This article deals with the stability analysis of a drilling system which is modelled as a coupled ordinary differential equation / string equation. The string is damped at the two boundaries but leading to a stable open-loop system. The…

Optimization and Control · Mathematics 2019-04-22 Matthieu Barreau , Alexandre Seuret , Frédéric Gouaisbaut

This paper studies the synchronization of stochastic linear systems which are subject to a general class of noises, in the sense that the noises are bounded in covariance but might be correlated with the states of agents and among each…

Systems and Control · Electrical Eng. & Systems 2022-05-16 Jiaqi Yan , Yilin Mo , Hideaki Ishii

When models are inaccurate, the performance of model-based control will degrade. For linear quadratic control, an event-triggered learning framework is proposed that automatically detects inaccurate models and triggers the learning of a new…

Systems and Control · Electrical Eng. & Systems 2022-07-19 Henning Schlüter , Friedrich Solowjow , Sebastian Trimpe

Distributed sensor networks have gained interest thanks to the developments in processing power and communications. Event-triggering mechanisms can be useful in reducing communication between the nodes of the network, while still ensuring…

Systems and Control · Electrical Eng. & Systems 2023-11-27 Irene Perez-Salesa , Rodrigo Aldana-Lopez , Carlos Sagues

We consider a network of agents whose objective is for the aggregate of their states to converge to a solution of a linear program in standard form. Each agent has limited information about the problem data and can communicate with other…

Optimization and Control · Mathematics 2014-05-06 Dean Richert , Jorge Cortes

In this paper, we investigate the stabilization of a nonlinear plant subject to network constraints, under the assumption of partial knowledge of the plant state. The event triggered paradigm is used for the observation and the control of…

Systems and Control · Computer Science 2015-03-16 L. Etienne , S. Di Gennaro , J. -P. Barbot
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