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This work addresses fundamental issues related to the structure and conditioning of linear time-delayed models of non-linear dynamics on an attractor. While this approach has been well-studied in the asymptotic sense (e.g. for infinite…

Dynamical Systems · Mathematics 2020-07-27 Shaowu Pan , Karthik Duraisamy

This paper investigates a model reduction problem for linear directed network systems, in which the interconnections among the vertices are described by general weakly connected digraphs. First, the definitions of pseudo controllability and…

Optimization and Control · Mathematics 2019-11-12 Xiaodong Cheng , Jacquelien M. A. Scherpen

This paper investigates the well-posedness and positivity of solutions to a class of delayed transport equations on a network. The material flow is delayed at the vertices and along the edges. The problem is reformulated as an abstract…

Analysis of PDEs · Mathematics 2025-11-11 András Bátkai , Marjeta Kramar Fijavž , Abdelaziz Rhandi

Artificial time delay controller was conceptualised for nonlinear systems to reduce dependency on precise system modelling unlike the conventional adaptive and robust control strategies. In this approach unknown dynamics is compensated by…

Robotics · Computer Science 2024-09-04 Swati Dantu

This paper studies the controllability of networked multi-input-multi-output (MIMO) systems, in which the network topology is weighted and directed, and the nodes are heterogeneous higher-dimensional linear time-invariant (LTI) dynamical…

Optimization and Control · Mathematics 2020-06-23 Linying Xiang , Peiru Wang , Fei Chen , Guanrong Chen

In this paper, an open problem is solved, for the stochastic optimal control problem with delay where the control domain is nonconvex and the diffusion term contains both control and its delayed term. Inspired by previous results by \O…

Optimization and Control · Mathematics 2020-07-14 Weijun Meng , Jingtao Shi

Networked control systems are feedback control systems with system components distributed at different locations connected through a communication network. Since the communication network is carried out through the internet and there are…

Robotics · Computer Science 2023-03-13 Mahsa Noroozi , Lorenz Kies

In this paper, a novel delay-independent control structure for a networked control system (NCS) is proposed, where packet-based control strategies with predictor-based and dual-rate control techniques are integrated. The control solution is…

Optimization and Control · Mathematics 2024-03-15 J. Alcaina , A. Cuenca , J. Salt , V. Casanovaa , R. Pizá

Controllability of complex networks arises in many technological problems involving social, financial, road, communication, and smart grid networks. In many practical situations, the underlying topology might change randomly with time, due…

Systems and Control · Computer Science 2020-01-08 Fernando Gama , Elvin Isufi , Alejandro Ribeiro , Geert Leus

This paper deals with the optimal control of systems governed by nonlinear systems of conservation laws at junctions. The applications considered range from gas compressors in pipelines to open channels management. The existence of an…

Analysis of PDEs · Mathematics 2008-02-26 R. M. Colombo , G. Guerra , M. Herty , V. Sachers

This manuscript discusses a scalable controller synthesis method for networked systems with a large number of identical subsystems based on the H-infinity control framework. The dynamics of the individual subsystems are described by…

Optimization and Control · Mathematics 2020-09-10 Pieter Appeltans , Wim Michiels

The control of dynamical, networked systems continues to receive much attention across the engineering and scientific research fields. Of particular interest is the proper way to determine which nodes of the network should receive external…

Systems and Control · Computer Science 2018-08-24 Isaac Klickstein , Francesco Sorrentino

In this paper, we investigate the controllability of a class of formation control systems. Given a directed graph, we assign an agent to each of its vertices and let the edges of the graph describe the information flow in the system. We…

Systems and Control · Computer Science 2015-06-02 Xudong Chen , M. -A. Belabbas , Tamer Basar

In this paper, we study the stochastic optimal control problem for control system with time-varying delay. The corresponding stochastic differential equation is a kind of stochastic differential delay equation. We prove the existence and…

Optimization and Control · Mathematics 2024-01-17 Yuhang Li , Yuecai Han

We propose a novel feedback controller for a class of uncertain higher-order nonlinear systems, subject to delays in both state measurement and control input signals. Building on the prescribed performance control framework, a…

Optimization and Control · Mathematics 2025-09-11 Thomas Berger , Lampros N. Bikas , Jan Hachmeister , George A. Rovithakis

In this paper, we solve an open problem and obtain a general maximum principle for a stochastic optimal control problem where the control domain is an arbitrary non-empty set and all the coefficients (especially the diffusion term and the…

Optimization and Control · Mathematics 2023-02-08 Weijun Meng , Jingtao Shi , Tianxiao Wang , Ji-Feng Zhang

This paper identifies a property of delay-robustness in distributed supervisory control of discrete-event systems (DES) with communication delays. In previous work a distributed supervisory control problem has been investigated on the…

Systems and Control · Computer Science 2017-03-20 Renyuan Zhang , Kai Cai , Yongmei Gan , W. M. Wonham

We introduce a spatial economic growth model where space is described as a network of interconnected geographic locations and we study a corresponding finite-dimensional optimal control problem on a graph with state constraints. Economic…

This paper deals with the controllability of linear one-dimensional hyperbolic systems. Reformulating the problem in terms of linear difference equations and making use of infinite-dimensional realization theory, we obtain both necessary…

Optimization and Control · Mathematics 2024-05-14 Yacine Chitour , Sébastien Fueyo , Guilherme Mazanti , Mario Sigalotti

In this article, we consider a nonlinear process with delayed dynamics to be controlled over a communication network in the presence of disturbances and study robustness of the resulting closed-loop system with respect to network-induced…

Systems and Control · Computer Science 2016-04-18 Domagoj Tolic , Sandra Hirche