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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

This work concerns the exponential stabilization of underactuated linear homogeneous systems of m parabolic partial differential equations (PDEs) in cascade (reaction-diffusion systems), where only the first state is controlled either…

Optimization and Control · Mathematics 2023-10-19 Constantinos Kitsos , Emilia Fridman

This paper provides global exponential stabilization results by means of boundary feedback control for 1-D nonlinear unstable reaction-diffusion Partial Differential Equations (PDEs) with nonlinearities of superlinear growth. The class of…

Optimization and Control · Mathematics 2019-03-26 Iasson Karafyllis , Miroslav Krstic

Recently, the problem of boundary stabilization for unstable linear constant-coefficient coupled reaction-diffusion systems was solved by means of the backstepping method. The extension of this result to systems with advection terms and…

Optimization and Control · Mathematics 2016-03-17 Rafael Vazquez , Miroslav Krstic

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 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

This paper is concerned with the output feedback boundary stabilization of general 1-D reaction diffusion PDEs in the presence of an arbitrarily large input delay. We consider the cases of Dirichlet/Neumann/Robin boundary conditions for the…

Optimization and Control · Mathematics 2022-07-13 Hugo Lhachemi , Christophe Prieur

We study the boundary stabilization of one-dimensional cross-diffusion systems in a moving domain. We show first exponential stabilization and then finite-time stabilization in arbitrary small-time of the linearized system around uniform…

Analysis of PDEs · Mathematics 2023-07-14 Jean Cauvin-Vila , Virginie Ehrlacher , Amaury Hayat

This paper discusses the boundary feedback stabilization of a reaction-diffusion equation with Robin boundary conditions and in the presence of a time-varying state-delay. The proposed control design strategy is based on a…

Optimization and Control · Mathematics 2020-03-17 Hugo Lhachemi , Robert Shorten

For parabolic PDEs, we present a new certainty equivalence-based adaptive boundary control scheme with a least-squares identifier of an event-triggering type, where the triggering is based on the size of the regulation error (as opposed to…

Optimization and Control · Mathematics 2018-05-23 Iasson Karafyllis , Miroslav Krstic , Katerina Chrysafi

The goal of this work is to compute a boundary control of reaction-diffusion partial differential equation. The boundary control is subject to a constant delay, whereas the equation may be unstable without any control. For this system…

Analysis of PDEs · Mathematics 2017-09-11 Christophe Prieur , Emmanuel Trélat

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, stability of linearly coupled dynamical systems with feedback pinning is studied. Event-triggered rules are employed on both diffusion coupling and feedback pinning to reduce the updating load of the coupled system. Here,…

Adaptation and Self-Organizing Systems · Physics 2016-10-03 Yujuan Han , Wenlian Lu , Tianping Chen

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

We present an adaptive event-triggered boundary control scheme for a parabolic PDE-ODE system, where the reaction coefficient of the parabolic PDE, and the system parameter of a scalar ODE, are unknown. In the proposed controller, the…

Optimization and Control · Mathematics 2021-10-13 Ji Wang , Miroslav Krstic

This paper discusses cooperative stabilization control of rigid formations via an event-based approach. We first design a centralized event-based formation control system, in which a central event controller determines the next triggering…

Systems and Control · Electrical Eng. & Systems 2024-12-20 Zhiyong Sun , Qingchen Liu , Na Huang , Changbin Yu , Brian D. O. Anderson

The paper addresses the design of an event-triggering mechanism for a partial differential wave equation posed in a bounded domain. The wave equation is supposed to be controlled through a first order time derivative term distributed in the…

Analysis of PDEs · Mathematics 2019-01-07 Lucie Baudouin , Swann Marx , Sophie Tarbouriech

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 addresses the topic of global output feedback stabilization of semilinear reaction-diffusion PDEs. The semilinearity is assumed to be confined into a sector condition. We consider two different types of actuation configurations,…

Optimization and Control · Mathematics 2021-11-25 Hugo Lhachemi , Christophe Prieur

This article proposes a periodic event-triggered adaptive barrier control policy for the trajectory tracking problem of perturbed Euler-Lagrangian systems with state, input, and temporal (SIT) constraints. In particular, an…

Systems and Control · Electrical Eng. & Systems 2025-10-06 Chidre Shravista Kashyap , Karnan A , Pushpak Jagtap , Jishnu Keshavan