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We introduce the concept of a control contraction metric, extending contraction analysis to constructive nonlinear control design. We derive sufficient conditions for exponential stabilizability of all trajectories of a nonlinear control…

Systems and Control · Computer Science 2017-02-09 Ian R. Manchester , Jean-Jacques E. Slotine

Optimal control provides a principled framework for transforming dynamical system models into intelligent decision-making, yet classical computational approaches are often too expensive for real-time deployment in dynamic or uncertain…

Optimization and Control · Mathematics 2026-01-01 Wuzhe Xu , Jiequn Han , Rongjie Lai

Research on control using models based on machine-learning methods has now shifted to the practical engineering stage. Achieving high performance and theoretically guaranteeing the safety of the system is critical for such applications. In…

Systems and Control · Electrical Eng. & Systems 2025-01-28 Ryuta Moriyasu , Masayuki Kusunoki , Kenji Kashima

This paper presents novel theoretical results to guarantee multi-agent set invariance using Matrix Control Barrier Functions in sampled-data systems. More specifically, the paper presents conditions under which heterogeneous control-affine…

Optimization and Control · Mathematics 2026-03-20 James Usevitch

Model predictive control (MPC) has established itself as the primary methodology for constrained control, enabling general-purpose robot autonomy in diverse real-world scenarios. However, for most problems of interest, MPC relies on the…

Software organizations are increasingly incorporating machine learning (ML) into their product offerings, driving a need for new data management tools. Many of these tools facilitate the initial development of ML applications, but…

Software Engineering · Computer Science 2022-07-19 Shreya Shankar , Aditya Parameswaran

We discuss the multilevel control problem for linear dynamical systems, consisting in designing a piece-wise constant control function taking values in a finite-dimensional set. In particular, we provide a complete characterization of…

Optimization and Control · Mathematics 2021-09-07 Umberto Biccari , Enrique Zuazua

With the increasing complexity of modern industrial automatic and robotic systems, an increasing burden is put on the operators, who are requested to supervise and interact with very complex systems, typically under challenging and…

Human-Computer Interaction · Computer Science 2018-02-20 Valeria Villani , Lorenzo Sabattini , Julia N. Czerniak , Alexander Mertens , Cesare Fantuzzi

In finance, economics and many other fields, observations in a matrix form are often observed over time. For example, many economic indicators are obtained in different countries over time. Various financial characteristics of many…

Methodology · Statistics 2017-06-22 Dong Wang , Xialu Liu , Rong Chen

We give an overview of different paradigms for control of quantum systems and their applications, illustrated with specific examples. We further discuss the implications of fault-tolerance requirements for quantum process engineering using…

Quantum Physics · Physics 2016-11-17 Sonia Schirmer , Gajendran Kandasamy , Simon Devitt

Model Predictive Control (MPC) is the principal control technique used in industrial applications. Although it offers distinguishable qualities that make it ideal for industrial applications, it can be questioned its robustness regarding…

Optimization and Control · Mathematics 2017-03-16 Alberto Zenere , Mattia Zorzi

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

The scope of this work is to provide a self-contained introduction to a selection of basic theoretical aspects in the modeling and control of quantum mechanical systems, as well as a brief survey on the main approaches to control synthesis.…

Quantum Physics · Physics 2012-10-29 Claudio Altafini , Francesco Ticozzi

With dramatic breakthroughs in recent years, machine learning is showing great potential to upgrade the toolbox for power system optimization. Understanding the strength and limitation of machine learning approaches is crucial to decide…

Systems and Control · Electrical Eng. & Systems 2022-02-03 Guangchun Ruan , Haiwang Zhong , Guanglun Zhang , Yiliu He , Xuan Wang , Tianjiao Pu

Model-based reinforcement learning is an effective approach for controlling an unknown system. It is based on a longstanding pipeline familiar to the control community in which one performs experiments on the environment to collect a…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Bruce D. Lee , Ingvar Ziemann , George J. Pappas , Nikolai Matni

The difficulty of assessing the state lies in a little predictable change in the dimension of a dynamic system under the influence of internal changes and environmental parameters. In the work, the state of such a system is estimated by the…

Optimization and Control · Mathematics 2025-01-30 Sergey Masaev

Model Predictive Control (MPC) is a powerful and flexible design tool of high-performance controllers for physical systems in the presence of input and output constraints. A challenge for the practitioner applying MPC is the need of tuning…

Systems and Control · Electrical Eng. & Systems 2021-01-19 Marco Forgione , Dario Piga , Alberto Bemporad

Many real-world systems are composed of many individual components that interact with one another in a complex pattern to produce diverse behaviors. Understanding how to intervene in these systems to guide behaviors is critically important…

Physics and Society · Physics 2018-04-04 Elena Wu-Yan , Richard F. Betzel , Evelyn Tang , Shi Gu , Fabio Pasqualetti , Danielle S. Bassett

Technological advances allow manufacturers to collect and access data from a production system effectively. The objective of data collection is to deploy the collected data in developing decision support systems for performance evaluation,…

Systems and Control · Electrical Eng. & Systems 2022-04-05 Nima Manafzadeh Dizbin

We present a Monte Carlo simulation framework for analysing the risk involved in deploying real-time control systems in safety-critical applications, as well as an algorithm design technique allowing one (in certain situations) to robustify…

Optimization and Control · Mathematics 2022-08-04 Mads R. Bisgaard , Lukas Hewing , Alexander Domahidi