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Many dynamical systems can be described in terms of structured flows combining source/sink behavior, cyclic dynamics, and topology-constrained transport. These features arise across a wide range of domains, including physical, engineered,…

Data Analysis, Statistics and Probability · Physics 2026-05-19 Diego Casadei

Regular transition systems (RTS) are a popular formalism for modeling infinite-state systems in general, and parameterised systems in particular. In a CONCUR 22 paper, Esparza et al. introduce a novel approach to the verification of RTS,…

Formal Languages and Automata Theory · Computer Science 2024-07-22 Philipp Czerner , Javier Esparza , Valentin Krasotin , Christoph Welzel-Mohr

This paper studies the synthesis of controllers for discrete-time, continuous state stochastic systems subject to omega-regular specifications using finite-state abstractions. We present a synthesis algorithm for minimizing or maximizing…

Systems and Control · Electrical Eng. & Systems 2020-09-22 Maxence Dutreix , Jeongmin Huh , Samuel Coogan

Modern unmanned systems, including aerial, terrestrial, and underwater vehicles, are increasingly utilized in dynamic and unpredictable environments, where the presence of modeling uncertainties necessitates the development of robust and…

Systems and Control · Electrical Eng. & Systems 2026-03-11 Maryam Norouzi , Mingxi Zhou , Chengzhi Yuan

We consider a compositional construction of approximate abstractions of interconnected control systems. In our framework, an abstraction acts as a substitute in the controller design process and is itself a continuous control system. The…

Optimization and Control · Mathematics 2018-01-03 Matthias Rungger , Majid Zamani

The automated synthesis of control policies for stochastic dynamical systems presents significant challenges. A standard approach is to construct a finite-state abstraction of the continuous system, typically represented as a Markov…

Systems and Control · Electrical Eng. & Systems 2025-08-26 Mahdi Nazeri , Thom Badings , Sadegh Soudjani , Alessandro Abate

Abstraction (in its various forms) is a powerful established technique in model-checking; still, when unbounded data-structures are concerned, it cannot always cope with divergence phenomena in a satisfactory way. Acceleration is an…

Logic in Computer Science · Computer Science 2013-10-04 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

Previous approaches to constructing abstractions for control systems rely on geometric conditions or, in the case of an interconnected control system, a condition on the interconnection topology. Since these conditions are not always…

Optimization and Control · Mathematics 2020-05-22 Stanley W. Smith , Murat Arcak , Majid Zamani

Software model checkers based on under-approximations and SMT solvers are very successful at verifying safety (i.e. reachability) properties. They combine two key ideas -- (a) "concreteness": a counterexample in an under-approximation is a…

Logic in Computer Science · Computer Science 2013-06-11 Anvesh Komuravelli , Arie Gurfinkel , Sagar Chaki , Edmund M. Clarke

An open problem in artificial intelligence is how systems can flexibly learn discrete abstractions that are useful for solving inherently continuous problems. Previous work in computational neuroscience has considered this functional…

Artificial Intelligence · Computer Science 2024-09-04 Poppy Collis , Ryan Singh , Paul F Kinghorn , Christopher L Buckley

Autonomous robots operating in dynamic environments must maintain beliefs over a hypothesis space that is rich enough to represent the activities of interest at different scales. This is important both in order to accommodate the…

Artificial Intelligence · Computer Science 2016-07-26 Majd Hawasly , Florian T. Pokorny , Subramanian Ramamoorthy

We develop data-driven algorithms for reachability analysis and control of systems with a priori unknown nonlinear dynamics. The resulting algorithms not only are suitable for settings with real-time requirements but also provide provable…

Systems and Control · Electrical Eng. & Systems 2021-12-20 Franck Djeumou , Abraham P. Vinod , Eric Goubault , Sylvie Putot , Ufuk Topcu

Sensor-based reactive and hybrid approaches have proven a promising line of study to address imperfect knowledge in grasping and manipulation. However the reactive approaches are usually tightly coupled to a particular embodiment making…

This article proposes a hierarchical learning architecture for safe data-driven control in unknown environments. We consider a constrained nonlinear dynamical system and assume the availability of state-input trajectories solving control…

Systems and Control · Electrical Eng. & Systems 2021-07-15 Charlott Vallon , Francesco Borrelli

This paper is concerned with a compositional approach for constructing both infinite (reduced-order models) and finite abstractions (a.k.a. finite Markov decision processes (MDPs)) of large-scale interconnected discrete-time stochastic…

Systems and Control · Computer Science 2020-02-17 Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

Accurate models are essential for design, performance prediction, control, and diagnostics in complex engineering systems. Physics-based models excel during the design phase but often become outdated during system deployment due to changing…

Machine Learning · Computer Science 2025-01-22 Zihan Liu , Prashant N. Kambali , C. Nataraj

In this paper, we provide a compositional approach for constructing finite abstractions (a.k.a. finite Markov decision processes (MDPs)) of interconnected discrete-time stochastic switched systems. The proposed framework is based on a…

Systems and Control · Electrical Eng. & Systems 2019-12-30 Abolfazl Lavaei , Sadegh Soudjani , Majid Zamani

This paper presents a compositional approach to specification-guided abstraction refinement for control synthesis of a nonlinear system associated with a method to over-approximate its reachable sets. Given an initial coarse partition of…

Systems and Control · Computer Science 2017-12-19 Pierre-Jean Meyer , Dimos V. Dimarogonas

Accurate and interpretable motion planning is essential for autonomous vehicles (AVs) navigating complex and uncertain environments. While recent end-to-end occupancy prediction methods have improved environmental understanding, they…

Robotics · Computer Science 2025-06-09 Shuqi Shen , Junjie Yang , Hongliang Lu , Hui Zhong , Qiming Zhang , Xinhu Zheng

In this paper, we propose a software abstraction layer to simplify the design and synthesis of whole-body controllers without making any preliminary assumptions on the control law to be implemented. The main advantage of the proposed…