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Some biological systems operate at the critical point between stability and instability and this requires a fine-tuning of parameters. We bring together two examples from the literature that illustrate this: neural integration in the…

Optimization and Control · Mathematics 2007-05-23 Luc Moreau , Eduardo Sontag

Disorder in condensed matter and atomic physics is responsible for a great variety of fascinating quantum phenomena, which are still challenging for understanding, not to mention the relevant dynamical control. Here we introduce proof of…

Disordered Systems and Neural Networks · Physics 2022-03-01 Tang-You Huang , Yue Ban , E. Ya. Sherman , Xi Chen

In recent years, there have been many computational simulations of spontaneous neural dynamics. Here, we explore a model of spontaneous neural dynamics and allow it to control a virtual agent moving in a simple environment. This setup…

Neurons and Cognition · Quantitative Biology 2016-08-19 Peter J. Hellyer , Claudia Clopath , Angie A. Kehagia , Federico E. Turkheimer , Robert Leech

An internal model of the own body can be assumed a fundamental and evolutionary-early representation as it is present throughout the animal kingdom. Such functional models are, on the one hand, required in motor control, for example solving…

Robotics · Computer Science 2019-04-25 Malte Schilling

Robots and autonomous agents often complete goal-based tasks with limited resources, relying on imperfect models and sensor measurements. In particular, reinforcement learning (RL) and feedback control can be used to help a robot achieve a…

Artificial Intelligence · Computer Science 2018-09-26 Aleksandra Faust , James B. Aimone , Conrad D. James , Lydia Tapia

The existence of instabilities, for example in the form of adversarial examples, has given rise to a highly active area of research concerning itself with understanding and enhancing the stability of neural networks. We focus on a popular…

Numerical Analysis · Mathematics 2025-10-28 Matthias J. Ehrhardt , Davide Murari , Ferdia Sherry

In a paper by Willems and coauthors it was shown that persistently exciting data can be used to represent the input-output behavior of a linear system. Based on this fundamental result, we derive a parametrization of linear feedback systems…

Systems and Control · Computer Science 2019-09-10 Claudio De Persis , Pietro Tesi

The integration of algorithmic components into neural architectures has gained increased attention recently, as it allows training neural networks with new forms of supervision such as ordering constraints or silhouettes instead of using…

Machine Learning · Computer Science 2021-10-27 Felix Petersen , Christian Borgelt , Hilde Kuehne , Oliver Deussen

The paper focuses on the redundancy resolution in kinematic control of a new type of serial manipulator composed of multiple tensegrity segments, which are moving in a multi-obstacle environment. The general problem is decomposed into two…

Robotics · Computer Science 2021-08-03 Wanda Zhao , Anatol Pashkevich , Damien Chablat

Algorithms increasingly operate within complex physical, social, and engineering systems where they are exposed to disturbances, noise, and interconnections with other dynamical systems. This article extends known convergence guarantees of…

Machine Learning · Computer Science 2025-12-22 Guner Dilsad Er , Sebastian Trimpe , Michael Muehlebach

Control problems are always challenging since they arise from the real-world systems where stochasticity and randomness are of ubiquitous presence. This naturally and urgently calls for developing efficient neural control policies for…

Systems and Control · Electrical Eng. & Systems 2022-09-16 Jingdong Zhang , Qunxi Zhu , Wei Lin

A large-scale complex system comprising many, often spatially distributed, dynamical subsystems with partial autonomy and complex interactions are called system of systems. This paper describes an efficient algorithm for model predictive…

Optimization and Control · Mathematics 2019-04-25 Branimir Novoselnik , Vedrana Spudić , Mato Baotić

We consider the design of fast and reliable neural network (NN)-based approximations of traditional stabilizing controllers for linear systems with polytopic uncertainty, including control laws with variable structure and those based on a…

Systems and Control · Electrical Eng. & Systems 2024-04-04 Filippo Fabiani , Paul J. Goulart

We propose a method for efficiently incorporating constraints into a stochastic gradient Langevin framework for the training of deep neural networks. Constraints allow direct control of the parameter space of the model. Appropriately…

Machine Learning · Computer Science 2021-06-22 Benedict Leimkuhler , Timothée Pouchon , Tiffany Vlaar , Amos Storkey

In recent years, Neural Networks (NNs) have been employed to control nonlinear systems due to their potential capability in dealing with situations that might be difficult for conventional nonlinear control schemes. However, to the best of…

Optimization and Control · Mathematics 2025-02-04 Anran Li , John P. Swensen , Mehdi Hosseinzadeh

Stabilizing thermodynamically unstable phases in many-body systems, such as suppressing pathological neuronal synchronization in Parkinson's disease or maintaining magnetic order across broad temperature ranges, remains a persistent…

Statistical Mechanics · Physics 2025-09-22 Anish Acharya , Rupak Majumder , Shamik Gupta

This work presents a novel methodology for analysis and control of nonlinear fluid systems using neural networks. The approach is demonstrated on four different study cases being the Lorenz system, a modified version of the…

Fluid Dynamics · Physics 2023-08-28 Tarcísio Déda , William Wolf , Scott Dawson

Several problems in modeling and control of stochastically-driven dynamical systems can be cast as regularized semi-definite programs. We examine two such representative problems and show that they can be formulated in a similar manner. The…

Optimization and Control · Mathematics 2019-12-30 Armin Zare , Hesameddin Mohammadi , Neil K. Dhingra , Tryphon T. Georgiou , Mihailo R. Jovanović

We review how sensorimotor control is dictated by interacting neural populations, optimal feedback mechanisms, and the biomechanics of bodies. First, we outline the distributed anatomical loops that shuttle sensorimotor signals between…

Neurons and Cognition · Quantitative Biology 2025-09-19 Muhammad Noman Almani , John Lazzari , Jeff Walker , Shreya Saxena

This paper presents an approach to deal with safety of dynamical systems in presence of multiple non-convex unsafe sets. While optimal control and model predictive control strategies can be employed in these scenarios, they suffer from high…

Systems and Control · Electrical Eng. & Systems 2021-06-14 Gennaro Notomista , Matteo Saveriano