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We present a numerically tractable formulation for computing the optimal control of the class of hybrid dynamical systems whose trajectories are continuous. Our formulation, an extension of existing relaxed-control techniques for switched…

Optimization and Control · Mathematics 2016-05-26 Tyler Westenbroek , Humberto Gonzalez

We develop an autonomous navigation algorithm for a robot operating in two-dimensional environments cluttered with obstacles having arbitrary convex shapes. The proposed navigation approach relies on a hybrid feedback to guarantee global…

Robotics · Computer Science 2022-08-05 Mayur Sawant , Soulaimane Berkane , Ilia Polusin , Abdelhamid Tayebi

We present a new approach for performing predicate abstraction based on symbolic decision procedures. Intuitively, a symbolic decision procedure for a theory takes a set of predicates in the theory and symbolically executes a decision…

Logic in Computer Science · Computer Science 2017-01-11 Shuvendu K. Lahiri , Thomas Ball , Byron Cook

Model-free control strategies such as reinforcement learning have shown the ability to learn control strategies without requiring an accurate model or simulator of the world. While this is appealing due to the lack of modeling requirements,…

Robotics · Computer Science 2024-06-28 Marius Memmel , Andrew Wagenmaker , Chuning Zhu , Patrick Yin , Dieter Fox , Abhishek Gupta

This note aims to provide a systematic investigation of direct data-driven control, enriching the existing literature not by adding another isolated result, but rather by offering a unifying, versatile, and broad framework that enables the…

Systems and Control · Electrical Eng. & Systems 2025-08-11 Nima Monshizadeh , Claudio De Persis , Pietro Tesi

We define robust abstractions for synthesizing provably correct and robust controllers for (possibly infinite) uncertain transition systems. It is shown that robust abstractions are sound in the sense that they preserve robust satisfaction…

Systems and Control · Computer Science 2018-03-06 Jun Liu

We introduce a holistic framework for the analysis, approximation and control of the trajectories of hybrid dynamical systems which display event-triggered discrete jumps in the continuous state. We begin by demonstrating how to explicitly…

Dynamical Systems · Mathematics 2018-12-17 Tyler Westenbroek , Humberto Gonzalez , S. Shankar Sastry

Full-stack autonomous driving perception modules usually consist of data-driven models based on multiple sensor modalities. However, these models might be biased to the sensor setup used for data acquisition. This bias can seriously impair…

Modern nonlinear control theory seeks to endow systems with properties such as stability and safety, and has been deployed successfully across various domains. Despite this success, model uncertainty remains a significant challenge in…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Andrew J. Taylor , Victor D. Dorobantu , Sarah Dean , Benjamin Recht , Yisong Yue , Aaron D. Ames

Model order reduction techniques simplify high-dimensional dynamical systems by deriving lower-dimensional models that retain essential system characteristics. These techniques are crucial for the controller design of complex systems while…

Systems and Control · Electrical Eng. & Systems 2026-03-18 Behrad Samari , Henrik Sandberg , Karl H. Johansson , Abolfazl Lavaei

We propose a data-driven control method for systems with aleatoric uncertainty, for example, robot fleets with variations between agents. Our method leverages shared trajectory data to increase the robustness of the designed controller and…

Robotics · Computer Science 2024-03-25 Alexander von Rohr , Dmitrii Likhachev , Sebastian Trimpe

This paper studies a data-driven predictive control for a class of control-affine systems which is subject to uncertainty. With the accessibility to finite sample measurements of the uncertain variables, we aim to find controls which are…

Optimization and Control · Mathematics 2021-05-03 Dan Li , Dariush Fooladivanda , Sonia Martinez

This paper proposes a neural network hybrid modeling framework for dynamics learning to promote an interpretable, computationally efficient way of dynamics learning and system identification. First, a low-level model will be trained to…

Systems and Control · Electrical Eng. & Systems 2024-11-18 Yejiang Yang , Zihao Mo , Weiming Xiang

The modelling of discrete regulatory networks combines a graph specifying the pairwise influences between the variables of the system, and a parametrisation from which can be derived a discrete transition system. Given the influence graph…

Discrete Mathematics · Computer Science 2018-03-19 Juraj Kolčák , David Šafránek , Stefan Haar , Loïc Paulevé

The requirement for identifying accurate system representations has not only been a challenge to fulfill, but it has compromised the scalability of formal methods, as the resulting models are often too complex for effective decision making…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Oliver Schön , Sofie Haesaert , Sadegh Soudjani

In the realm of sound object-oriented program analyses for information-flow control, very few approaches adopt flow-sensitive abstractions of the heap that enable a precise modeling of implicit flows. To tackle this challenge, we advance a…

Programming Languages · Computer Science 2022-11-08 Nicolas Berthier , Narges Khakpour

Autonomous motion planning under unknown nonlinear dynamics presents significant challenges. An agent needs to continuously explore the system dynamics to acquire its properties, such as reachability, in order to guide system navigation…

Robotics · Computer Science 2025-03-06 Zhiquan Zhang , Gokul Puthumanaillam , Manav Vora , Melkior Ornik

This article presents a composite nonlinear feedback (CNF) control method using self-triggered (ST) adaptive dynamic programming (ADP) algorithm in a human-machine shared steering framework. For the overall system dynamics, a…

Systems and Control · Electrical Eng. & Systems 2025-03-06 Chuan Hu , Sicheng Ge , Yingkui Shi , Weinan Gao , Wenfeng Guo , Xi Zhang

We study the automated abstraction-based synthesis of correct-by-construction control policies for stochastic dynamical systems with unknown dynamics. Our approach is to learn an abstraction from sampled data, which is represented in the…

Systems and Control · Electrical Eng. & Systems 2025-09-03 Mahdi Nazeri , Thom Badings , Anne-Kathrin Schmuck , Sadegh Soudjani , Alessandro Abate

This paper considers the optimal control for hybrid systems whose trajectories transition between distinct subsystems when state-dependent constraints are satisfied. Though this class of systems is useful while modeling a variety of…

Optimization and Control · Mathematics 2018-03-21 Pengcheng Zhao , Shankar Mohan , Ram Vasudevan
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