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In this paper, we describe a novel approach for checking safety specifications of a dynamical system with exogenous inputs over infinite time horizon that is guaranteed to terminate in finite time with a conclusive answer. We introduce the…

Optimization and Control · Mathematics 2008-01-04 Amit Bhatia , Emilio Frazzoli

In this paper we present a counter-example guided abstraction and approximation refinement (CEGAAR) technique for {\em partial predicate abstraction}, which combines predicate abstraction and fixpoint approximations for model checking…

Logic in Computer Science · Computer Science 2017-12-06 Tuba Yavuz

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

Given a max-plus linear system and a semimodule, the problem of computing the maximal controlled invariant subsemimodule is still open to this day. In this paper, we consider this problem for the specific class of fully actuated systems and…

Optimization and Control · Mathematics 2026-02-10 Davide Zorzenon , Jörg Raisch

Monotonic abstraction is a technique introduced in model checking parameterized distributed systems in order to cope with transitions containing global conditions within guards. The technique has been re-interpreted in a declarative setting…

Logic in Computer Science · Computer Science 2014-11-17 Francesco Alberti , Silvio Ghilardi , Natasha Sharygina

We study the satisfiability and model-checking problems for timed hyperproperties specified with HyperMTL, a timed extension of HyperLTL. Depending on whether interleaving of events in different traces is allowed, two possible semantics can…

Logic in Computer Science · Computer Science 2018-12-27 Hsi-Ming Ho , Ruoyu Zhou , Timothy M. Jones

A novel, scalable, on-the-fly model-checking procedure is presented to verify bounded PCTL properties of selected individuals in the context of very large systems of independent interacting objects. The proposed procedure combines…

Logic in Computer Science · Computer Science 2013-12-13 Diego Latella , Michele Loreti , Mieke Massink

Parametric model checking (PMC) computes algebraic formulae that express key non-functional properties of a system (reliability, performance, etc.) as rational functions of the system and environment parameters. In software engineering, PMC…

Software Engineering · Computer Science 2021-02-03 Xinwei Fang , Radu Calinescu , Simos Gerasimou , Faisal Alhwikem

Model mismatch and process noise are two frequently occurring phenomena that can drastically affect the performance of model predictive control (MPC) in practical applications. We propose a principled way to tune the cost function and the…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Riccardo Zuliani , Efe C. Balta , John Lygeros

Learning from demonstrations is a common way for users to teach robots, but it is prone to spurious feature correlations. Recent work constructs state abstractions, i.e. visual representations containing task-relevant features, from…

Recent works in Learning-Based Model Predictive Control of dynamical systems show impressive sample complexity performances using criteria from Information Theory to accelerate the learning procedure. However, the sequential exploration…

Machine Learning · Computer Science 2026-02-25 Rémy Hosseinkhan-Boucher , Onofrio Semeraro , Lionel Mathelin

We consider nonlinear model predictive control (MPC) with multiple competing cost functions. In each step of the scheme, a multiobjective optimal control problem with a nonlinear system and terminal conditions is solved. We propose an…

Optimization and Control · Mathematics 2022-07-01 Gabriele Eichfelder , Lars Grüne , Lisa Krügel , Jonas Schießl

Probabilistic Computation Tree Logic (PCTL) is frequently used to formally specify control objectives such as probabilistic reachability and safety. In this work, we focus on model checking PCTL specifications statistically on Markov…

Machine Learning · Computer Science 2020-04-23 Yu Wang , Nima Roohi , Matthew West , Mahesh Viswanathan , Geir E. Dullerud

We propose trace abstraction modulo probability, a proof technique for verifying high-probability accuracy guarantees of probabilistic programs. Our proofs overapproximate the set of program traces using failure automata, finite-state…

Programming Languages · Computer Science 2018-10-31 Calvin Smith , Justin Hsu , Aws Albarghouthi

The C Bounded Model Checker (CBMC) demonstrates the violation of assertions in C programs, or proves safety of the assertions under a given bound. CBMC implements a bit-precise translation of an input C program, annotated with assertions…

Software Engineering · Computer Science 2023-02-07 Daniel Kroening , Peter Schrammel , Michael Tautschnig

Model Predictive Control (MPC) offers a versatile framework for constraint handling and multi-objective optimisation, yet practical application faces challenges regarding initial and recursive feasibility, robustness against model…

Optimization and Control · Mathematics 2026-02-27 Dario Dennstädt

This paper proposes a transition system abstraction framework for neural network dynamical system models to enhance the model interpretability, with applications to complex dynamical systems such as human behavior learning and verification.…

Systems and Control · Electrical Eng. & Systems 2024-02-20 Yejiang Yang , Zihao Mo , Hoang-Dung Tran , Weiming Xiang

Time series analysis provides essential insights for real-world system dynamics and informs downstream decision-making, yet most existing methods often overlook the rich contextual signals present in auxiliary modalities. To bridge this…

Machine Learning · Computer Science 2026-03-24 Yushan Jiang , Wenchao Yu , Geon Lee , Dongjin Song , Kijung Shin , Wei Cheng , Yanchi Liu , Haifeng Chen

Designing controllers to satisfy temporal requirements has proven to be challenging for dynamical systems that are affected by uncertainty. This is mainly due to the states evolving in a continuous uncountable space, the stochastic…

Systems and Control · Electrical Eng. & Systems 2024-07-08 Birgit C. van Huijgevoort , Ruohan Wang , Sadegh Soudjani , Sofie Haesaert

AutomationML (AML) enables standardized data exchange in engineering, yet existing recommendations for proper AML modeling are typically formulated as informal and textual constraints. These constraints cannot be validated automatically…

Artificial Intelligence · Computer Science 2025-06-13 Tom Westermann , Aljosha Köcher , Felix Gehlhoff
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