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In this paper, we consider controlling a class of single-input-single-output (SISO) commensurate fractional-order nonlinear systems with parametric uncertainty and external disturbance. Based on backstepping approach, an adaptive controller…

Systems and Control · Electrical Eng. & Systems 2020-05-15 Xinyao Li , Changyun Wen , Ying Zou

In this paper, we aim at developing new methods to join machine learning techniques and macroscopic differential models for vehicular traffic estimation and forecast. It is well known that data-driven and model-driven approaches have…

Machine Learning · Computer Science 2024-12-06 Maya Briani , Emiliano Cristiani , Elia Onofri

Industrial design evaluation often relies on high-fidelity simulations of governing partial differential equations (PDEs). While accurate, these simulations are computationally expensive, making dense exploration of design spaces…

Machine Learning · Computer Science 2025-10-01 Zhizhou Zhang , Youjia Wu , Kaixuan Zhang , Yanjia Wang

This paper proposes a novel approach to improve the performance of distributed nonlinear control systems while preserving stability by leveraging Deep Neural Networks (DNNs). We build upon the Neural System Level Synthesis (Neur-SLS)…

Optimization and Control · Mathematics 2024-08-01 Danilo Saccani , Leonardo Massai , Luca Furieri , Giancarlo Ferrari-Trecate

This paper presents a boundary control scheme for prescribed-time (PT) stable of flexible string systems via backstepping method, and the dynamics of such systems modeled by Hamilton's principle is described as second-order hyperbolic…

Optimization and Control · Mathematics 2025-09-09 Chuan Zhang , He Yang , Fei Wang , Tuo Zhou

Intelligent driving systems can be used to mitigate congestion through simple actions, thus improving many socioeconomic factors such as commute time and gas costs. However, these systems assume precise control over autonomous vehicle…

Machine Learning · Computer Science 2023-08-17 Aamir Hasan , Neeloy Chakraborty , Haonan Chen , Jung-Hoon Cho , Cathy Wu , Katherine Driggs-Campbell

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

The control of traffic signals is fundamental and critical to alleviate traffic congestion in urban areas. However, it is challenging since traffic dynamics are complicated in real-world scenarios. Because of the high complexity of the…

Systems and Control · Electrical Eng. & Systems 2021-05-10 Hu Wang , Hao Chen , Qi Wu , Congbo Ma , Yidong Li , Chunhua Shen

Urban traffic congestion significantly impacts regional air quality and contributes substantially to pollutant emissions. Suburban freeway corridors are a major source of traffic-related emissions, particularly nitrogen oxides (NOx) and…

Optimization and Control · Mathematics 2025-06-17 Alexander Hammerl , Ravi Seshadri , Thomas Kjær Rasmussen , Otto Anker Nielsen

Existing neural operator architectures face challenges when solving multiphysics problems with coupled partial differential equations (PDEs) due to complex geometries, interactions between physical variables, and the limited amounts of…

In this paper, we focus on the problem about direct way to design a stable controller for nonlinear system. A framework of learning controller with Lyapunov-based constraint is proposed, which is intended to transform designing and analyis…

Systems and Control · Computer Science 2019-03-11 Me Le , Chi Yanxun , Li Zhiwei , Xu Dongfu , Zhang Yulong

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

When learning to perform motor tasks in a simulated environment, neural networks must be allowed to explore their action space to discover new potentially viable solutions. However, in an online learning scenario with physical hardware,…

Machine Learning · Computer Science 2021-11-22 Cody Scharzenberger , Joe Hays

This paper presents a novel hybrid control protocol for de-conflicting multiple vehicles with constraints on control inputs. We consider turning rate and linear speed constraints to represent fixed-wing or car-like vehicles. A set of…

Systems and Control · Computer Science 2021-06-11 Kunal Garg , Dimitra Panagou

Modelling complex multiphysics systems governed by nonlinear and strongly coupled partial differential equations (PDEs) is a cornerstone in computational science and engineering. However, it remains a formidable challenge for traditional…

Machine Learning · Computer Science 2025-02-28 Biao Yuan , He Wang , Yanjie Song , Ana Heitor , Xiaohui Chen

Macroscopic traffic flow is stochastic, but the physics-informed deep learning methods currently used in transportation literature embed deterministic PDEs and produce point-valued outputs; the stochasticity of the governing dynamics plays…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Wuping Xin

Real-world scientific applications frequently encounter incomplete observational data due to sensor limitations, geographic constraints, or measurement costs. Although neural operators significantly advanced PDE solving in terms of…

Machine Learning · Computer Science 2026-01-28 Jingren Hou , Hong Wang , Pengyu Xu , Chang Gao , Huafeng Liu , Liping Jing

This paper deals with traffic control at motorway bottlenecks assuming the existence of an unknown, time-varying, Fundamental Diagram (FD). The FD may change over time due to different traffic compositions, e.g., light and heavy vehicles,…

Systems and Control · Electrical Eng. & Systems 2023-08-02 Farzam Tajdari , Claudio Roncoli

Traffic congestion remains a significant challenge in modern urban networks. Autonomous driving technologies have emerged as a potential solution. Among traffic control methods, reinforcement learning has shown superior performance over…

Machine Learning · Computer Science 2025-07-29 Songyang Liu , Muyang Fan , Weizi Li , Jing Du , Shuai Li

Local constraint ordered statistics decoding (LC-OSD) provides strong soft decision performance for short block length linear codes, but its practical cost is dominated by the number of tested error patterns (TEPs). This paper proposes a…

Signal Processing · Electrical Eng. & Systems 2026-03-24 Talha Akyildiz , Hessam Mahdavifar
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