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It poses technical difficulty to achieve stable tracking even for single mismatched nonlinear strict-feedback systems when intermittent state feedback is utilized. The underlying problem becomes even more complicated if such systems are…

Multiagent Systems · Computer Science 2022-08-08 Libei Sun , Xiucai Huang , Yongduan Song

In this paper, we expand recently introduced observer-based periodic event-triggered control (PETC) and self-triggered control (STC) schemes for reaction-diffusion PDEs to boundary control of $2\times2$ coupled hyperbolic PDEs in canonical…

Optimization and Control · Mathematics 2025-06-17 Eranda Somathilake , Bhathiya Rathnayake , Mamadou Diagne

Neural operator approximations of the gain kernels in PDE backstepping has emerged as a viable method for implementing controllers in real time. With such an approach, one approximates the gain kernel, which maps the plant coefficient into…

Systems and Control · Electrical Eng. & Systems 2024-12-02 Luke Bhan , Yuanyuan Shi , Miroslav Krstic

Over the last decade, data-driven methods have surged in popularity, emerging as valuable tools for control theory. As such, neural network approximations of control feedback laws, system dynamics, and even Lyapunov functions have attracted…

Systems and Control · Electrical Eng. & Systems 2024-05-27 Luke Bhan , Yuexin Bian , Miroslav Krstic , Yuanyuan Shi

The paper proposes a novel event-triggered control scheme for nonlinear systems based on the input-delay method. Specifically, the closed-loop system is associated with a pair of auxiliary input and output. The auxiliary output is defined…

Systems and Control · Computer Science 2020-10-23 Lijun Zhu , Zhiyong Chen , David J. Hill , Shengli Du

In this paper, we focus on reducing node-to-node information exchange in distributed control of multiagent networks while improving the overall network performance. Specifically, we consider a multiagent network that is composed of leader…

Systems and Control · Electrical Eng. & Systems 2025-07-01 Emre Yildirim , Tansel Yucelen , Arman Sargolzaei

This paper revisits the classical multi-agent average consensus problem for which many different event-triggered control strategies have been proposed over the last decade. Many of the earliest versions of these works conclude asymptotic…

Optimization and Control · Mathematics 2020-05-26 James Berneburg , Cameron Nowzari

We develop backstepping state feedback control to stabilize a moving shockwave in a freeway segment under bilateral boundary actuations of traffic flow. A moving shockwave, consisting of light traffic upstream of the shockwave and heavy…

Optimization and Control · Mathematics 2019-04-10 Huan Yu , Mamadou Diagne , Liguo Zhang , Miroslav Krstic

Self-triggered control is an improvement on event-triggered control methods. Unlike the latter, self-triggered control does not require monitoring the behavior of the system constantly. Instead, self-triggered algorithms predict the events…

Systems and Control · Electrical Eng. & Systems 2019-07-04 Fairouz Zobiri , Nacim Meslem , Brigitte Bidegaray-Fesquet

This paper studies a stabilization problem for linear MIMO systems subject to external perturbation that further requires the closed-loop system render a specified gain from the external perturbation to the output. The problem arises from…

Systems and Control · Computer Science 2018-06-15 Lijun Zhu , Zhiyong Chen , Xi Chen , David J. Hill

This study focuses on event-triggered control of nonlinear discrete-time systems with time delays. Based on a Lyapunov-Krasovskii type input-to-state stability result, we propose a novel event-triggered control algorithm that works as…

Optimization and Control · Mathematics 2022-12-16 Kexue Zhang , Elena Braverman , Bahman Gharesifard

This paper proposes three different distributed event-triggered control algorithms to achieve leader-follower consensus for a network of Euler-Lagrange agents. We firstly propose two model-independent algorithms for a subclass of…

Systems and Control · Electrical Eng. & Systems 2024-10-24 Qingchen Liu , Mengbin Ye , Jiahu Qin , Changbin Yu

We consider the distributed leader-follower consensus problem with event-triggered communications. The system under consideration is a non-linear input-affine multi agent system. The agents are assumed to have identical dynamics structure…

Optimization and Control · Mathematics 2023-03-06 Mathieu Marchand , Vincent Andrieu , Sylvain Bertrand , Hélène Piet-Lahanier

This study investigates an SEIS PDE model with a free boundary, which captures the dynamics of epidemic transmission, including diseases like COVID-19. This parabolic PDE system is analyzed in a rotationally symmetric domain, and the…

Analysis of PDEs · Mathematics 2025-11-11 Aesol Jeon , Ki-Ahm Lee

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

The paper provides results for a non-standard, hyperbolic, 1-D, nonlinear traffic flow model on a bounded domain. The model consists of two first-order PDEs with a dynamic boundary condition that involves the time derivative of the…

Optimization and Control · Mathematics 2017-07-10 Iasson Karafyllis , Nikolaos Bekiaris-Liberis , Markos Papageorgiou

General nonlinear continuous-time systems are considered for which its state is estimated via a packet-based communication network. We assume that the system has multiple sensor nodes, affected by measurement noise, which can transmit at…

Systems and Control · Electrical Eng. & Systems 2021-12-09 Koen J. A. Scheres , Michelle S. Chong , Romain Postoyan , W. P. Maurice H. Heemels

This extended abstract presents our recent work on the leader-following consensus control for generic linear multi-agent systems. An improved dynamic event-triggered control framework are proposed, based on a moving average approach. The…

Systems and Control · Electrical Eng. & Systems 2023-05-18 Zeyuan Wang , Mohammed Chadli

In this paper we develop a boundary state feedback control law for a traffic flow network system in its most fundamental form: one incoming and one outgoing road connected by a junction. The macroscopic traffic dynamics on each road segment…

Optimization and Control · Mathematics 2019-10-31 Huan Yu , Jean Auriol , Miroslav Krstic

We present a framework for model-free learning of event-triggered control strategies. Event-triggered methods aim to achieve high control performance while only closing the feedback loop when needed. This enables resource savings, e.g.,…

Systems and Control · Electrical Eng. & Systems 2021-04-26 Niklas Funk , Dominik Baumann , Vincent Berenz , Sebastian Trimpe