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Control problems of mixed-autonomy traffic systems that consist of both human-driven vehicles (HV) and autonomous vehicles (AV), have gained increasing attention. This paper focuses on suppressing traffic oscillations in the mixed-autonomy…

Systems and Control · Electrical Eng. & Systems 2024-09-17 Yihuai Zhang , Huan Yu

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

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

We present an event-triggered boundary control scheme for a class of reaction-diffusion PDEs using operator learning and backstepping method. Our first-of-its-kind contribution aims at learning the backstepping kernels, which inherently…

Optimization and Control · Mathematics 2025-04-03 Hongpeng Yuan , Ji Wang , Mamadou Diagne

This paper presents adaptive event-triggered formation control strategies for autonomous vehicles (AVs) subject to longitudinal and lateral motion uncertainties. The proposed framework explores various vehicular formations to enable safe…

Systems and Control · Electrical Eng. & Systems 2025-06-10 Ziming Wang , Yihuai Zhang , Chenguang Zhao , Huan Yu

This paper presents a safe stabilization of the Stefan PDE model with a moving boundary governed by a high-order dynamics. We consider a parabolic PDE with a time-varying domain governed by a second-order response with respect to the…

Optimization and Control · Mathematics 2025-10-09 Shumon Koga , Miroslav Krstic

This paper concerns the null controllability of the two-phase 1D Stefan problem with distributed controls. This is a free-boundary problem that models solidification or melting processes. In each phase, a parabolic equation, completed with…

Optimization and Control · Mathematics 2024-02-13 Raul K. C. Araújo , Enrique Fernández-Cara , Juan Límaco , Diego A. Souza

Stabilization of a coupled system consisting of a parabolic partial differential equation and an elliptic partial differential equation is considered. Even in the situation when the parabolic equation is exponentially stable on its own, the…

Optimization and Control · Mathematics 2023-09-04 Ala' Alalabi , Kirsten Morris

This paper deals with event-triggered parameterized control (ETPC) of nonlinear systems with external disturbances. In this control method, between two successive events, each control input to the plant is a linear combination of a set of…

Optimization and Control · Mathematics 2024-07-03 Anusree Rajan , Pavankumar Tallapragada

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

In this paper we consider the one-phase Stefan problem with surface tension, set in a two-dimensional strip-like geometry, with periodic boundary conditions respect to the horizontal direction $x_1\in\mathbb{T}$. We prove that the system is…

Optimization and Control · Mathematics 2022-09-09 Borjan Geshkovski , Debayan Maity

This paper deals with the problem of boundary stabilization of 1D reaction-diffusion PDEs with a time- and space- varying reaction coefficient. The boundary control design relies on the backstepping approach. The gains of the boundary…

Optimization and Control · Mathematics 2020-05-29 Iasson Karafyllis , Nicolas Espitia , Miroslav Krstic

Performance-barrier event-triggered control (P-ETC) is a methodology implemented to increase the dwell-times between events while still preserving a prescribed performance of the system under event-triggered control (ETC). This is achieved…

Optimization and Control · Mathematics 2026-04-06 Eranda Somathilake , Mamadou Diagne

Vehicular formation control is an important component of intelligent transportation systems (ITSs). In practical implementations, the controller design needs to satisfy multiple state constraints, including inter-vehicle spacing and vehicle…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Zihan Li , Ziming Wang , Xin Wang

The paper considers event-triggered leader-follower tracking control for multi-agent systems with general linear dynamics. For both undirected and directed follower graphs, we propose event triggering rules which guarantee bounded tracking…

Systems and Control · Computer Science 2016-03-15 Yi Cheng , V. Ugrinovskii

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

In this paper, we propose two event-triggered control laws incorporating an eventtriggering mechanism to tackle the boundary stabilization for the Rayleigh beam system. Under this event-triggered controls, a sufficient condition for…

Optimization and Control · Mathematics 2026-05-19 Siwen Wang , Yi Cheng , Yuhu Wu , Yongxin Wu , Wen Kang

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

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

This article studies the control ideas of the optimal backstepping technique, proposing an event-triggered optimal tracking control scheme for a class of strict-feedback nonlinear systems with non-affine and nonlinear faults. A simplified…

Optimization and Control · Mathematics 2024-06-13 Ling Wang , Xin Wang , Ziming Wang