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In this series of lectures, we would like to introduce the audience to quantum optimal control. The first lecture will cover basic ideas and principles of optimal control with the goal of demystifying its jargon. The second lecture will…

Quantum Physics · Physics 2020-03-24 Frank K. Wilhelm , Susanna Kirchhoff , Shai Machnes , Nicolas Wittler , Dominique Sugny

In many areas of engineering and sciences, decision rules and control strategies are usually designed based on nominal values of relevant system parameters. To ensure that a control strategy or decision rule will work properly when the…

Probability · Mathematics 2020-06-16 Xinjia Chen

This is a brief introduction to control theory in finite-dimensional spaces. The material is partly based on my lectures for the Master 1 program in Math\'ematiques et applications at Sorbonne University, delivered over the past few years.…

Optimization and Control · Mathematics 2025-12-24 Hoai-Minh Nguyen

A quantum system subject to external fields is said to be controllable if these fields can be adjusted to guide the state vector to a desired destination in the state space of the system. Fundamental results on controllability are reviewed…

Nuclear Theory · Physics 2008-11-26 John W. Clark , Dennis G. Lucarelli , Tzyh-Jong Tarn

The robust disturbance rejection controller has been the subject of intensive research due to its undeniable importance for automation. Modern control theory tends to use model-based approaches versus model-free approaches, especially when…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Atta Oveisi

We offer our opinion on the benefits of integration of insights from active matter physics with principles of regulatory interactions and control to develop a field we term ``smart matter". This field can provide insight into important…

Soft Condensed Matter · Physics 2023-02-02 Herbert Levine , Daniel I. Goldman

We consider the basic features of complex dynamical and control systems. Special attention is paid to the problems of synthesis of dynamical models of complex systems, construction of efficient control models, and to the development of…

Computational Engineering, Finance, and Science · Computer Science 2009-07-03 Armen Bagdasaryan

Control at the interface between the classical and the quantum world is fundamental in quantum physics. In particular, how classical control is enhanced by coherence effects is an important question both from a theoretical as well as from a…

Quantum Physics · Physics 2016-08-17 J. M. Matera , D. Egloff , N. Killoran , M. B. Plenio

As countries interact more and more, technology gains a decisive role in facilitating today's increased need for interconnection. At the same time, systems, becoming more advanced as technology progresses, feed each other and can produce…

Systems and Control · Electrical Eng. & Systems 2021-12-14 Evripidis P. Kechagias , Dimitrios M. Miloulis , Georgios Chatzistelios , Sotiris P. Gayialis , Georgios A. Papadopoulos

Optimization equips engineers and scientists in a variety of fields with the ability to transcribe their problems into a generic formulation and receive optimal solutions with relative ease. Industries ranging from aerospace to robotics…

Artificial Intelligence · Computer Science 2022-12-05 Keivan Shariatmadar , Kaizheng Wang , Calvin R. Hubbard , Hans Hallez , David Moens

Users of shared control systems change their behavior in the presence of assistance, which conflicts with assumpts about user behavior that some assistance methods make. In this paper, we propose an analysis technique to evaluate the user's…

Robotics · Computer Science 2024-08-23 Reuben M. Aronson , Elaine Schaertl Short

In recent years, many sectors have experienced significant progress in automation, associated with the growing advances in artificial intelligence and machine learning. There are already automated robotic weapons, which are able to evaluate…

Computers and Society · Computer Science 2020-07-23 Mikolaj firlej , Araz Taeihagh

The human brain is a complex network that supports mental function. The nascent field of network neuroscience applies tools from mathematics to neuroimaging data in the hopes of shedding light on cognitive function. A critical question…

Neurons and Cognition · Quantitative Biology 2017-04-26 John D. Medaglia , Perry Zurn , Walter Sinnott-Armstrong , Danielle S. Bassett

A significant problem in designing mobile robot control systems involves coping with the uncertainty that arises in moving about in an unknown or partially unknown environment and relying on noisy or ambiguous sensor data to acquire…

Artificial Intelligence · Computer Science 2013-04-05 K. Bayse , M. Lejter , Keiji Kanazawa

Controllability properties are studied for control-affine systems depending on a parameter and with constrained control values. The uncontrolled systems in dimension two and three are subject to a homoclinic bifurcation. This generates two…

Optimization and Control · Mathematics 2022-12-13 Fritz Colonius , Amani Hasan , Gholam Reza Rokni Lamouki

The aim of this notes is to give a concise introduction to control theory for systems governed by stochastic partial differential equations. We shall mainly focus on controllability and optimal control problems for these systems. For the…

Optimization and Control · Mathematics 2021-01-27 Qi Lü , Xu Zhang

Nonlinear contraction theory is a comparatively recent dynamic control system design tool based on an exact differential analysis of convergence, in essence converting a nonlinear stability problem into a linear time-varying stability…

Pattern Formation and Solitons · Physics 2007-05-23 Winfried Lohmiller , Jean-Jacques E. Slotine

One of the primary drivers for self-adaptation is ensuring that systems achieve their goals regardless of the uncertainties they face during operation. Nevertheless, the concept of uncertainty in self-adaptive systems is still…

Software Engineering · Computer Science 2021-03-05 Sara M. Hezavehi , Danny Weyns , Paris Avgeriou , Radu Calinescu , Raffaela Mirandola , Diego Perez-Palacin

Automated industries lead to high quality production, lower manufacturing cost and better utilization of human resources. Robotic manipulator arms have major role in the automation process. However, for complex manipulation tasks, hard…

This article explores various uncertain control co-design (UCCD) problem formulations. While previous work offers formulations that are method-dependent and limited to only a handful of uncertainties (often from one discipline), effective…

Systems and Control · Electrical Eng. & Systems 2023-07-21 Saeed Azad , Daniel R. Herber