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This paper investigates a distributed goal assignment problem in leader-following formation control of second-order multi-agent systems. It is assumed that each agent can communicate with nearby agents within the communication range and the…

Systems and Control · Electrical Eng. & Systems 2022-03-03 Yun Ho Choi , Doik Kim

In this paper, we design an output-feedback controller to stabilize n +m hetero-directional transport partial differential equations (PDEs) coupled on both domain boundaries to ordinary differential equations (ODEs). This class of systems…

Analysis of PDEs · Mathematics 2024-06-17 Jean Auriol , Federico Bribiesca Argomedo

This paper presents a distributed algorithm for controlling the deployment of a team of mobile agents in formations whose shapes can be characterized by a broad class of polygons, including regular ones, where each agent occupies a corner…

Systems and Control · Computer Science 2017-03-24 Hector Garcia de Marina , Bayu Jayawardhana , Ming Cao

The vertical gradient freeze crystal growth process is the main technique for the production of high quality compound semiconductors that are vital for today's electronic applications. A simplified model of this process consists of two 1D…

Optimization and Control · Mathematics 2025-02-11 Stefan Ecklebe , Nicole Gehring

In this paper, we introduce a decentralized optimization-based density controller designed to enforce set invariance constraints in multi-robot systems. By designing a decentralized control barrier function, we derived sufficient conditions…

Systems and Control · Electrical Eng. & Systems 2026-04-20 Longchen Niu , Gennaro Notomista

The recently introduced DeepONet operator-learning framework for PDE control is extended from the results for basic hyperbolic and parabolic PDEs to an advanced hyperbolic class that involves delays on both the state and the system output…

Optimization and Control · Mathematics 2024-06-17 Jie Qi , Jing Zhang , Miroslav Krstic

This paper deals with the backstepping design of observer-based compensators for parabolic ODE-PDE-ODE systems. The latter consist of n coupled parabolic PDEs with distinct diffusion coefficients and spatially-varying coefficients, that are…

Systems and Control · Electrical Eng. & Systems 2020-08-28 Joachim Deutscher , Nicole Gehring

Modeling and controlling complex spatiotemporal dynamical systems driven by partial differential equations (PDEs) often necessitate dimensionality reduction techniques to construct lower-order models for computational efficiency. This paper…

Systems and Control · Electrical Eng. & Systems 2024-09-12 Priyabrata Saha , Saibal Mukhopadhyay

We study sparse optimal control of a non-local continuity equation, where the goal is to steer a distribution via finitely many controllable agents or actuators. This model arises naturally in mean-field multi-agent systems and takes the…

Optimization and Control · Mathematics 2026-03-03 Enrico Sartor , Florian Dörfler , Nicolas Lanzetti

This paper presents a PDE-based auto-aggregation model for simulating descriptive norm dynamics in autonomous multi-agent systems, capturing convergence and violation through non-local perception kernels and external potential fields.…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Chao Li , Ilia Derevitskii , Sergey Kovalchuk

Factored decentralized Markov decision process (Dec-MDP) is a framework for modeling sequential decision making problems in multi-agent systems. In this paper, we formalize the learning of numerical methods for hyperbolic partial…

Machine Learning · Computer Science 2022-10-17 Yiwei Fu , Dheeraj S. K. Kapilavai , Elliot Way

This paper considers the problem of finite dimensional output feedback H-infinity control for a class of nonlinear spatially distributed processes (SDPs) described by highly dissipative partial differential equations (PDEs), whose state is…

Systems and Control · Computer Science 2015-03-31 Huai-Ning Wu , Hong-Du Wang

Optimal control of the singular nonlinear parabolic PDE which is a distributional formulation of multidimensional and multiphase Stefan-type free boundary problem is analyzed. Approximating sequence of finite-dimensional optimal control…

Analysis of PDEs · Mathematics 2020-06-16 Ugur G. Abdulla , Evan Cosgrove

We investigate the stability and robustness properties of a continuification-based strategy for the control of large-scale multiagent systems. Within continuation-based strategy, one transforms the microscopic, agent-level description of…

Systems and Control · Electrical Eng. & Systems 2023-10-04 Gian Carlo Maffettone , Maurizio Porfiri , Mario di Bernardo

Scheduling the maintenance based on the condition, respectively the degradation level of the system leads to improved system's reliability while minimizing the maintenance cost. Since the degradation level changes dynamically during the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-30 Pegah Rokhforoz , Olga Fink

We present a sequential distributed model predictive control (MPC) scheme for cooperative control of multi-agent systems with dynamically decoupled heterogeneous nonlinear agents subject to individual constraints. In the scheme, we explore…

Systems and Control · Electrical Eng. & Systems 2024-06-13 Matthias Köhler , Matthias A. Müller , Frank Allgöwer

The problem of distributed formation control of nonholonomic mobile robots is addressed in this paper, in which the robots are designed to track a formation. Collision avoidance among agents is guaranteed using a control law based on a…

Robotics · Computer Science 2017-05-11 Thang Nguyen , Hung M. La

This paper presents a decentralized leader-follower multi-robot formation control based on a reinforcement learning (RL) algorithm applied to a swarm of small educational Sphero robots. Since the basic Q-learning method is known to require…

Robotics · Computer Science 2023-07-17 Juraj Obradovic , Marko Krizmancic , Stjepan Bogdan

Stochastic simulation methods can be applied successfully to model exact spatio-temporally resolved reaction-diffusion systems. However, in many cases, these methods can quickly become extremely computationally intensive with increasing…

Quantitative Methods · Quantitative Biology 2016-04-29 Jonathan U. Harrison , Christian A. Yates

This paper addresses the problem of navigation control of a general class of 2nd order uncertain nonlinear multi-agent systems in a bounded workspace, which is a subset of $R^3$ , with static obstacles. In particular, we propose a…

Systems and Control · Computer Science 2018-04-25 Alexandros Filotheou , Alexandros Nikou , Dimos V. Dimarogonas