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The challenges in providing convincing arguments for safe and correct behavior of automated driving (AD) systems have so far hindered their widespread commercial deployment. Conventional development approaches such as testing and simulation…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Yuvaraj Selvaraj , Wolfgang Ahrendt , Martin Fabian

Cyber-physical systems (CPSs) are important whenever computer technology interfaces with the physical world as it does in self-driving cars or aircraft control support systems. Due to their many subtleties, controllers for cyber-physical…

Logic in Computer Science · Computer Science 2021-02-15 André Platzer

Computer-Controlled Systems (CCS) are a subclass of hybrid systems where the periodic relation of control components to time is paramount. Since they additionally are at the heart of many safety-critical devices, it is of primary importance…

Logic in Computer Science · Computer Science 2019-07-09 Simon Lunel , Stefan Mitsch , Benoit Boyer , Jean-Pierre Talpin

We survey dynamic logics for specifying and verifying properties of dynamical systems, including hybrid systems, distributed hybrid systems, and stochastic hybrid systems. A dynamic logic is a first-order modal logic with a pair of…

Logic in Computer Science · Computer Science 2021-06-07 André Platzer

We address a fundamental mismatch between the combinations of dynamics that occur in cyber-physical systems and the limited kinds of dynamics supported in analysis. Modern applications combine communication, computation, and control. They…

Logic in Computer Science · Computer Science 2016-12-02 Andre Platzer

Safety-critical chemical processes are the backbone of multi-billion-dollar industries, thus society deserves the strongest possible guarantees that they are safe. To that end, models of chemical processes are well-studied in the formal…

Logic in Computer Science · Computer Science 2022-05-18 Rose Bohrer

Real world systems of interest often feature interactions between discrete and continuous dynamics. Various hybrid system formalisms have been used to model and analyze this combination of dynamics, ranging from mathematical descriptions,…

Logic in Computer Science · Computer Science 2021-09-22 Yong Kiam Tan , André Platzer

Programmable Logic Controllers (PLCs) provide a prominent choice of implementation platform for safety-critical industrial control systems. Formal verification provides ways of establishing correctness guarantees, which can be quite…

Programming Languages · Computer Science 2019-02-15 Luis Garcia , Stefan Mitsch , Andre Platzer

Formal verification provides strong safety guarantees but only for models of cyber-physical systems. Hybrid system models describe the required interplay of computation and physical dynamics, which is crucial to guarantee what computations…

Logic in Computer Science · Computer Science 2019-02-26 Stefan Mitsch , André Platzer

Physical systems can fail. For this reason the problem of identifying and reacting to faults has received a large attention in the control and computer science communities. In this paper we study the fault diagnosis problem for hybrid…

Formal Languages and Automata Theory · Computer Science 2011-06-08 Davide Bresolin , Marta Capiluppi

The safety of automated driving systems must be justified by convincing arguments and supported by compelling evidence to persuade certification agencies, regulatory entities, and the general public to allow the systems on public roads.…

Software Engineering · Computer Science 2024-10-28 Jonas Krook , Yuvaraj Selvaraj , Wolfgang Ahrendt , Martin Fabian

Ensuring that safety-critical applications behave as intended is an important yet challenging task. Modeling languages like differential dynamic logic (dL) have proof calculi capable of proving guarantees for such applications. However, dL…

Formal Languages and Automata Theory · Computer Science 2024-10-08 Myra Dotzel , Stefan Mitsch , André Platzer

In the field of quality assurance of hybrid systems (that combine continuous physical dynamics and discrete digital control), Platzer's differential dynamic logic (dL) is widely recognized as a deductive verification method with solid…

Logic in Computer Science · Computer Science 2020-03-13 Juraj Kolčák , Ichiro Hasuo , Jérémy Dubut , Shin-ya Katsumata , David Sprunger , Akihisa Yamada

Switched systems are known to exhibit subtle (in)stability behaviors requiring system designers to carefully analyze the stability of closed-loop systems that arise from their proposed switching control laws. This paper presents a formal…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Yong Kiam Tan , Stefan Mitsch , André Platzer

There is a great diversity of formal models to understand the dynamics of transport and vehicular flow on a road. Many of these models are inspired by the dynamics of flows governed by partial differential equations. However, it is possible…

Logic in Computer Science · Computer Science 2021-03-30 Miguel Andres Velasquez , Carlos Ernesto Ramirez

We combine quantified differential dynamic logic (QdL) for reasoning about the possible behavior of distributed hybrid systems with temporal logic for reasoning about the temporal behavior during their operation. Our logic supports…

Logic in Computer Science · Computer Science 2012-07-12 Ping Hou

Hybrid systems are integrations of discrete computation and continuous physical evolution. The physical components of such systems introduce safety requirements, the achievement of which asks for the correct monitoring and control from the…

Logic in Computer Science · Computer Science 2014-03-28 Shuling Wang , Flemming Nielson , Hanne Riis Nielson

Hybrid systems with both discrete and continuous dynamics are an important model for real-world cyber-physical systems. The key challenge is to ensure their correct functioning w.r.t. safety requirements. Promising techniques to ensure…

Logic in Computer Science · Computer Science 2015-05-27 Stefan Mitsch , Grant Olney Passmore , Andre Platzer

Some hybrid systems models are unsafe for mathematically correct but physically unrealistic reasons. For example, mathematical models can classify a system as being unsafe on a set that is too small to have physical importance. In…

Logic in Computer Science · Computer Science 2019-09-17 Katherine Cordwell , André Platzer

This paper introduces operators, semantics, characterizations, and solution-independent conditions to guarantee temporal logic specifications for hybrid dynamical systems. Hybrid dynamical systems are given in terms of differential…

Systems and Control · Electrical Eng. & Systems 2020-06-17 Hyejin Han , Ricardo G. Sanfelice
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