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Estimating the Worst-Case Execution Time (WCET) of an application is an essential task in the context of developing real-time or safety-critical software, but it is also a complex and error-prone process. Conventional approaches require at…

Software Engineering · Computer Science 2018-06-13 Martin Becker , Ravindra Metta , R Venkatesh , Samarjt Chakraborty

In systems with hard real-time constraints, it is necessary to compute upper bounds on the worst-case execution time (WCET) of programs; the closer the bound to the real WCET, the better. This is especially the case of synchronous reactive…

Programming Languages · Computer Science 2014-06-02 Julien Henry , Mihail Asavoae , David Monniaux , Claire Maïza

Parametric Worst-case execution time (WCET) analysis of a sequential program produces a formula that represents the worst-case execution time of the program, where parameters of the formula are user-defined parameters of the program (as…

Programming Languages · Computer Science 2017-10-09 Clément Ballabriga , Julien Forget , Giuseppe Lipari

Given a program and a time deadline, does the program finish before the deadline when executed on a given platform? With the requirement to produce a test case when such a violation can occur, we refer to this problem as the worst-case…

Programming Languages · Computer Science 2015-06-22 Daniel Bundala , Sanjit A. Seshia

Runtime monitoring plays a key role in the assurance of modern intelligent cyber-physical systems, which are frequently data-intensive and safety-critical. While graph queries can serve as an expressive yet formally precise specification…

Software Engineering · Computer Science 2021-11-04 Márton Búr , Kristóf Marussy , Brett H. Meyer , Dániel Varró

Estimating worst-case execution times (WCET) is an important activity at early design stages of real-time systems. Based on WCET estimates, engineers make design and implementation decisions to ensure that task executions always complete…

Software Engineering · Computer Science 2023-08-14 Jaekwon Lee , Seung Yeob Shin , Shiva Nejati , Lionel C. Briand , Yago Isasi Parache

The safety of our day-to-day life depends crucially on the correct functioning of embedded software systems which control the functioning of more and more technical devices. Many of these software systems are time-critical. Hence,…

Programming Languages · Computer Science 2009-03-13 Adrian Prantl , Jens Knoop , Markus Schordan , Markus Triska

Weakly hard real-time systems can, to some degree, tolerate deadline misses, but their schedulability still needs to be analyzed to ensure their quality of service. Such analysis usually occurs at early design stages to provide…

Software Engineering · Computer Science 2023-08-14 Jaekwon Lee , Seung Yeob Shin , Lionel Briand , Shiva Nejati

Estimating Worst-Case Execution Time (WCET) is of utmost importance for developing Cyber-Physical and Safety-Critical Systems. The system's scheduler uses the estimated WCET to schedule each task of these systems, and failure may lead to…

Software Engineering · Computer Science 2021-08-05 Vikash Kumar

Providing an execution time certificate is a pressing requirement when deploying Model Predictive Control (MPC) in real-time embedded systems such as microcontrollers. Real-time MPC requires that its worst-case (maximum) execution time must…

Optimization and Control · Mathematics 2024-04-02 Liang Wu , Richard D. Braatz

Inexact methods for model predictive control (MPC), such as real-time iterative schemes or time-distributed optimization, alleviate the computational burden of exact MPC by providing suboptimal solutions. While the asymptotic stability of…

Systems and Control · Electrical Eng. & Systems 2023-11-21 Aren Karapetyan , Efe C. Balta , Andrea Iannelli , John Lygeros

Machine-learning models are increasingly deployed on resource-constrained embedded systems with strict timing constraints. In such scenarios, the worst-case execution time (WCET) of the models is required to ensure safe operation.…

Machine Learning · Computer Science 2025-01-30 Nils Hölscher , Christian Hakert , Georg von der Brüggen , Jian-Jia Chen , Kuan-Hsun Chen , Jan Reineke

Model Predictive Control (MPC) can efficiently control constrained systems in real-time applications. MPC feedback law for a linear system with linear inequality constraints can be explicitly computed off-line, which results in an off-line…

Systems and Control · Computer Science 2016-06-13 Andrew Knyazev , Peizhen Zhu , Stefano Di Cairano

In Mixed-Criticality (MC) systems, although the high Worst-Case Execution Time (WCET) serves as a conservative upper bound representing the task's maximum execution time under all conditions, obtaining a low WCET is essential for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-01 Behnaz Ranjbar , Akash Kumar

This paper proposes a novel real-time algorithm for controlling wave energy converters (WECs). We begin with the economic model predictive control (MPC) problem formulation and apply a novel, first-order optimization algorithm inspired by…

Systems and Control · Electrical Eng. & Systems 2025-09-09 Simone Pirrera , Nicolas Faedo , Sophie M. Fosson , Diego Regruto

The paper presents a novel algorithm for computing best and worst case execution times (BCET/WCET) of timed automata models with cyclic behaviour. The algorithms can work on any arbitrary diagonal-free TA and can handle more cases than…

Formal Languages and Automata Theory · Computer Science 2016-11-01 Omar Al-Bataineh , Mark Reynolds , Tim French

This paper is about a real-time model predictive control (MPC) algorithm for a particular class of model based controllers, whose objective consists of a nominal tracking objective and an additional learning objective. Here, the…

Optimization and Control · Mathematics 2016-11-09 Xuhui Feng , Boris Houska

A robust adaptive model predictive control (MPC) algorithm is presented for linear, time invariant systems with unknown dynamics and subject to bounded measurement noise. The system is characterized by an impulse response model, which is…

Systems and Control · Electrical Eng. & Systems 2019-11-21 Anilkumar Parsi , Andrea Iannelli , Mingzhou Yin , Mohammad Khosravi , Roy S. Smith

Energy efficient real-time task scheduling attracted a lot of attention in the past decade. Most of the time, deterministic execution lengths for tasks were considered, but this model fits less and less with the reality, especially with the…

Operating Systems · Computer Science 2008-09-09 Vandy Berten , Chi-Ju Chang , Tei-Wei Kuo

The paper investigates the accuracy of the Model Predictive Control (MPC) method for finding online approximate optimal feedback control for Bolza type problems on a fixed finite horizon. The predictions for the dynamics, the state…

Optimization and Control · Mathematics 2025-11-17 Georgi Angelov , Alberto Domínguez Corella , Vladimir Veliov
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