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Reachability analysis of compositional hybrid systems, where individual components are modeled as hybrid automata, poses unique challenges. In addition to preserving the compositional semantics while computing system behaviors, algorithms…

Logic in Computer Science · Computer Science 2025-09-05 Atanu Kundu , Pratyay Sarkar , Rajarshi Ray

In this paper, we consider the problem of estimating parameters of a linear regression model. Using a hybrid systems framework, a hybrid algorithm is proposed allowing the estimate to converge to the exact value of the unknown parameters in…

Systems and Control · Electrical Eng. & Systems 2026-03-04 Adnane Saoud , Ryan S. Johnson , Ricardo G. Sanfelice

Updatable timed automata (UTA) are extensions of classic timed automata that allow special updates to clock variables, like x:= x - 1, x := y + 2, etc., on transitions. Reachability for UTA is undecidable in general. Various subclasses with…

Logic in Computer Science · Computer Science 2020-09-29 Paul Gastin , Sayan Mukherjee , B Srivathsan

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

This paper proposes methods for reachability analysis of nonlinear systems in both open loop and closed loop with advanced controllers. The methods combine hybrid zonotopes, a construct called a state-update set, functional decomposition,…

Systems and Control · Electrical Eng. & Systems 2024-02-26 Jacob A. Siefert , Trevor J. Bird , Andrew F. Thompson , Jonah J. Glunt , Justin P. Koeln , Neera Jain , Herschel C. Pangborn

Reachable set computation is an important tool for analyzing control systems. Simulating a control system can show general trends, but a formal tool like reachability analysis can provide guarantees of correctness. Reachability analysis for…

Systems and Control · Electrical Eng. & Systems 2025-05-07 Chelsea Sidrane , Jana Tumova

Hamilton-Jacobi (HJ) reachability provides formal safety guarantees for nonlinear systems. However, it becomes computationally intractable in high-dimensional settings, motivating learning-based approximations that may introduce unsafe…

Systems and Control · Electrical Eng. & Systems 2026-03-27 Ebonye Smith , Sampada Deglurkar , Jingqi Li , Gechen Qu , Claire J. Tomlin

An appropriate system model gives developers a better overview, and the ability to fix more inconsistencies more effectively and earlier in system development, reducing overall effort and cost. However, modelling assumes abstraction of…

Software Engineering · Computer Science 2014-05-01 Maria Spichkova , Heinrich Schmidt , Ian Peake

The process algebra HYPE was recently proposed as a fine-grained modelling approach for capturing the behaviour of hybrid systems. In the original proposal, each flow or influence affecting a variable is modelled separately and the overall…

Logic in Computer Science · Computer Science 2011-07-08 Luca Bortolussi , Vashti Galpin , Jane Hillston

In this paper we propose an improvement for flowpipe-construction-based reachability analysis techniques for hybrid systems. Such methods apply iterative successor computations to pave the reachable region of the state space by state sets…

Systems and Control · Computer Science 2017-07-18 Stefan Schupp , Johanna Nellen , Erika Ábrahám

Stochastic HYPE is a novel process algebra that models stochastic, instantaneous and continuous behaviour. It develops the flow-based approach of the hybrid process algebra HYPE by replacing non-urgent events with events with…

Systems and Control · Computer Science 2014-11-18 Luca Bortolussi , Vashti Galpin , Jane Hillston

We study the reachability problem for communicating timed processes, both in discrete and dense time. Our model comprises automata with local timing constraints communicating over unbounded FIFO channels. Each automaton can only access its…

Logic in Computer Science · Computer Science 2015-03-20 Lorenzo Clemente , Frédéric Herbreteau , Amélie Stainer , Grégoire Sutre

We propose a hybrid probabilistic process calculus for modelling and reasoning on cyber-physical systems (CPSs). The dynamics of the calculus is expressed in terms of a probabilistic labelled transition system in the SOS style of Plotkin.…

Logic in Computer Science · Computer Science 2021-05-25 Ruggero Lanotte , Massimo Merro , Simone Tini

This paper introduces two mechanisms for computing over-approximations of sets of reachable states, with the aim of ensuring termination of state-space exploration. The first mechanism consists in over-approximating the automata…

Formal Languages and Automata Theory · Computer Science 2013-11-27 Alois Dreyfus , Pierre-Cyrille Heam , Olga Kouchnarenko

Cyber Physical Systems (CPS) are becoming ubiquitous and affect the physical world, yet security is seldom at the forefront of their design. This is especially true of robotic control algorithms which seldom consider the effect of a cyber…

Robotics · Computer Science 2018-03-07 Alexander Ivanov , Mark Campbell

This study proposes an algorithm to synthesize controllers for the power management on board hybrid vehicles that allows the vehicle to reach its maximum range along a given route. The algorithm stems from a level-set approach that computes…

Optimization and Control · Mathematics 2012-09-27 Giovanni Granato

This paper presents a novel contingency planning framework that integrates learning-based multi-modal predictions of traffic participants into Branch Model Predictive Control (MPC). Leveraging reachability analysis, we address the…

Systems and Control · Electrical Eng. & Systems 2025-02-05 Mohamed-Khalil Bouzidi , Bojan Derajic , Daniel Goehring , Joerg Reichardt

We propose a solution to a time-varying variant of Markov Decision Processes which can be used to address decision-theoretic planning problems for autonomous systems operating in unstructured outdoor environments. We explore the time…

Robotics · Computer Science 2019-05-28 Junhong Xu , Kai Yin , Lantao Liu

Computing tight over-approximation of reach sets of a controlled uncertain dynamical system is a common practice in verification of safety-critical cyber-physical systems (CPS). While several algorithms are available for this purpose, they…

Systems and Control · Electrical Eng. & Systems 2021-03-16 Shadi Haddad , Abhishek Halder

Backward reachability analysis computes the set of states that reach a target set under the competing influence of control input and disturbances. Depending on their interplay, the backward reachable set either represents all states that…

Numerical Analysis · Mathematics 2025-09-19 Mark Wetzlinger , Matthias Althoff