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This paper over-approximates the reachable sets of a continuous-time uncertain system using the sensitivity of its trajectories with respect to initial conditions and uncertain parameters. We first prove the equivalence between an existing…

Systems and Control · Computer Science 2021-04-09 Pierre-Jean Meyer , Samuel Coogan , Murat Arcak

Recursive Neural Networks are non-linear adaptive models that are able to learn deep structured information. However, these models have not yet been broadly accepted. This fact is mainly due to its inherent complexity. In particular, not…

Neural and Evolutionary Computing · Computer Science 2009-11-18 Alejandro Chinea

Reachability analysis is an important method in providing safety guarantees for systems with unknown or uncertain dynamics. Due to the computational intractability of exact reachability analysis for general nonlinear, high-dimensional…

Systems and Control · Electrical Eng. & Systems 2025-09-12 Elizabeth Dietrich , Rosalyn Devonport , Stephen Tu , Murat Arcak

We introduce a sequential learning algorithm to address a robust controller tuning problem, which in effect, finds (with high probability) a candidate solution satisfying the internal performance constraint to a chance-constrained program…

Optimization and Control · Mathematics 2021-10-19 Robert Chin , Chris Manzie , Iman Shames , Dragan Nešić , Jonathan E. Rowe

Designing bounded-memory algorithms is becoming increasingly important nowadays. Previous works studying bounded-memory algorithms focused on proving impossibility results, while the design of bounded-memory algorithms was left relatively…

Machine Learning · Computer Science 2019-10-15 Michal Moshkovitz , Naftali Tishby

The reachability analysis of recursive programs that communicate asynchronously over reliable FIFO channels calls for restrictions to ensure decidability. Our first result characterizes communication topologies with a decidable reachability…

Logic in Computer Science · Computer Science 2015-07-01 Alexander Heussner , Jérôme Leroux , Anca Muscholl , Grégoire Sutre

Recent advancements in model-free deep reinforcement learning have enabled efficient agent training. However, challenges arise when determining the region of attraction for these controllers, especially if the region does not fully cover…

Systems and Control · Electrical Eng. & Systems 2024-09-04 Armin Ghanbarzadeh , Esmaeil Najafi

How the brain performs credit assignment is a fundamental unsolved problem in neuroscience. Many `biologically plausible' algorithms have been proposed, which compute gradients that approximate those computed by backpropagation (BP), and…

Machine Learning · Computer Science 2022-08-05 Beren Millidge , Yuhang Song , Tommaso Salvatori , Thomas Lukasiewicz , Rafal Bogacz

In this paper, we investigate the problem of controlling probabilistic Boolean control networks (PBCNs) to achieve reachability with maximum probability in the finite time horizon. We address three questions: 1) finding control policies…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Hongyue Fan , Jingjie Ni , Fangfei Li

Modern multi-agent systems ranging from sensor networks monitoring critical infrastructure to crowdsourcing platforms aggregating human intelligence can suffer significant performance degradation due to systematic biases that vary with…

Machine Learning · Computer Science 2025-10-31 Siavash M. Alamouti , Fay Arjomandi

We study the control of nonlinear constrained systems via over-approximations. Our key observation is that the over-approximation error, rather than being an unknown disturbance, can be exploited as input-dependent preview information. This…

Optimization and Control · Mathematics 2026-05-12 Antoine Aspeel , Antoine Girard , Thiago Alves Lima

Enforcing state and input constraints during reinforcement learning (RL) in continuous state spaces is an open but crucial problem which remains a roadblock to using RL in safety-critical applications. This paper leverages invariant sets to…

Systems and Control · Electrical Eng. & Systems 2019-06-28 Ankush Chakrabarty , Rien Quirynen , Claus Danielson , Weinan Gao

Despite large advances in recent years, real-time capable motion planning for autonomous road vehicles remains a huge challenge. In this work, we present a decision module that is based on set-based reachability analysis: First, we identify…

Robotics · Computer Science 2023-09-22 Niklas Kochdumper , Stanley Bak

One major criticism of deep learning centers around the biological implausibility of the credit assignment schema used for learning -- backpropagation of errors. This implausibility translates into practical limitations, spanning scientific…

Neural and Evolutionary Computing · Computer Science 2024-03-29 Alexander Ororbia , Ankur Mali , Adam Kohan , Beren Millidge , Tommaso Salvatori

An increasing trend in the use of neural networks in control systems is being observed. The aim of this paper is to reveal that the straightforward application of learning neural network feedforward controllers with closed-loop data may…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Johan Kon , Marcel Heertjes , Tom Oomen

A supervised learning framework is proposed to approximate a model predictive controller (MPC) with reduced computational complexity and guarantees on stability and constraint satisfaction. The framework can be used for a wide class of…

Systems and Control · Computer Science 2018-06-13 Michael Hertneck , Johannes Köhler , Sebastian Trimpe , Frank Allgöwer

The performance of a reinforcement learning algorithm can vary drastically during learning because of exploration. Existing algorithms provide little information about the quality of their current policy before executing it, and thus have…

Machine Learning · Computer Science 2019-05-29 Christoph Dann , Lihong Li , Wei Wei , Emma Brunskill

This work proposes a unified control architecture that couples a Reinforcement Learning (RL)-driven controller with a disturbance-rejection Extended State Observer (ESO), complemented by an Event-Triggered Mechanism (ETM) to limit…

Optimization and Control · Mathematics 2026-01-01 Ningwei Bai , Chi Pui Chan , Qichen Yin , Tengyang Gong , Yunda Yan , Zezhi Tang

We explore the probabilistic foundations of shared control in complex dynamic environments. In order to do this, we formulate shared control as a random process and describe the joint distribution that governs its behavior. For…

Robotics · Computer Science 2015-08-10 Pete Trautman

Equipping approximate dynamic programming (ADP) with inputconstraints has a tremendous significance. This enables ADP to be applied tothe systems with actuator limitations, which is quite common for dynamicalsystems. In a conventional…

Optimization and Control · Mathematics 2018-05-24 Xuefeng Bao , Zhi-Hong Mao , Nitin Sharma
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