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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 address the exponential stabilization of the linearized FitzHugh-Nagumo system using an event-triggered boundary control strategy. Employing the backstepping method, we derive a feedback control law that updates based on…

Optimization and Control · Mathematics 2024-10-30 Víctor Hernández-Santamaría , Subrata Majumdar , Luz de Teresa

This paper revisits the event-triggered control problem from a data-driven perspective, where unknown continuous-time linear systems subject to disturbances are taken into account. Using data information collected off-line instead of…

Systems and Control · Electrical Eng. & Systems 2025-01-06 Tao Xu , Zhiyong Sun , Guanghui Wen , Zhisheng Duan

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

We show that if a linear infinite-dimensional system is exponentially stabilizable by compact feedback, it is also stabilizable by means of a sampled-data feedback that is fed through a globally Lipschitz nonlinearity, provided that the…

Optimization and Control · Mathematics 2025-04-01 Rami Katz , Andrii Mironchenko

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

The event-triggered control with intermittent output can reduce the communication burden between the controller and plant side over the network. It has been exploited for adaptive output feedback control of uncertain nonlinear systems in…

Systems and Control · Electrical Eng. & Systems 2026-03-26 Gewei Zuo , Lijun Zhu

This paper studies the exponential stabilization on infinite dimensional system with impulse controls, where impulse instants appear periodically. The first main result shows that exponential stabilizability of the control system with a…

Optimization and Control · Mathematics 2021-05-13 Qishu Yan , Huaiqiang Yu

In this work, we consider the problem of event-triggered implementation of control laws designed for the local stabilization of nonlinear systems with center manifolds. We propose event-triggering conditions which are derived from a local…

Systems and Control · Electrical Eng. & Systems 2021-10-22 Akshit Saradagi , Vijay Muralidharan , Arun D. Mahindrakar , Pavankumar Tallapragada

This paper is concerned with exponential stability of a class of infinite dimensional coupled systems. It is proved that under some admissibility conditions, the considered infinite dimensional coupled system is governed by a…

Optimization and Control · Mathematics 2019-12-02 Zhan-Dong Mei

This paper proposes a framework to design an event-triggered based robust control law for linear uncertain system. The robust control law is realized through both static and dynamic event-triggering approach to reduce the computation and…

Optimization and Control · Mathematics 2015-09-08 Niladri Sekhar Tripathy , I. N. Kar , Kolin Paul

This paper provides an observer-based event-triggered boundary control strategy for the one-phase Stefan problem using the position and velocity measurements of the moving interface. The infinite-dimensional backstepping approach is used to…

Systems and Control · Electrical Eng. & Systems 2023-08-14 Bhathiya Rathnayake , Mamadou Diagne

This note studies stability of event-triggered control systems with the event-triggered control algorithm proposed in [1]. We construct a novel Halanay-type inequality, which is used to show that sufficient conditions of the main results in…

Optimization and Control · Mathematics 2023-10-02 Kexue Zhang , Bahman Gharesifard , Elena Braverman

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 paper deals with the stabilization of a class of linear infinite-dimensional systems with unbounded control operators and subject to a boundary disturbance. We assume that there exists a linear feedback law that makes the origin of the…

Analysis of PDEs · Mathematics 2022-10-26 Ismaïla Balogoun , Swann Marx , Franck Plestan

We present an event-triggered boundary control scheme for hyperbolic systems. The trigger condition is based on predictions of the state on determinate sets, where the control input is only updated if the predictions deviate from the…

Optimization and Control · Mathematics 2022-03-18 Timm Strecker , Michael Cantoni , Ole Morten Aamo

Event-triggered approach to networked control systems is used to reduce the workload of the communication network. For the static output-feedback continuous event-trigger may generate an infinite number of sampling instants in finite time…

Optimization and Control · Mathematics 2016-11-07 Anton Selivanov , Emilia Fridman

The control systems are an essential part of every engineering system in any industrial application. The basic purpose of controls is to manage the internal operations of the system and detect any unwanted or uncertain situation. Failure in…

Systems and Control · Electrical Eng. & Systems 2022-02-04 Raffay Yaqoob

This paper is devoted to the stabilization problem for nonlinear driftless control systems by means of a time-varying feedback control. It is assumed that the vector fields of the system together with their first order Lie brackets span the…

Optimization and Control · Mathematics 2019-04-16 Alexander Zuyev

This paper proposes the incorporation of static event-triggered control in the actuation path of Newton-based extremum seeking and its comparison with the earlier gradient version. As in the continuous methods, the convergence rate of the…

Optimization and Control · Mathematics 2025-02-04 Victor Hugo Pereira Rodrigues , Tiago Roux Oliveira , Miroslav Krstic , Paulo Tabuada