# Current Challenges in the Verification of Hybrid Systems

@inproceedings{Schupp2015CurrentCI, title={Current Challenges in the Verification of Hybrid Systems}, author={Stefan Schupp and Erika {\'A}brah{\'a}m and Xin Chen and Ibtissem Ben Makhlouf and Goran Frehse and Sriram Sankaranarayanan and Stefan Kowalewski}, booktitle={CyPhy}, year={2015} }

Latest developments brought interesting theoretical results and powerful tools for the reachability analysis of hybrid systems. However, there are still challenging problems to be solved in order to make those technologies applicable to large-scale applications in industrial context. To support this development, in this paper we give a brief overview of available algorithms and tools, and point out some of their individual characteristics regarding various properties which are crucial for the…

## 33 Citations

### Comparative evaluation and improvement of computational approaches to reachability analysis of linear hybrid systems

- Computer Science
- 2016

This thesis addresses the problem of reachability analysis with the focus on linear hybrid systems using a suite of benchmarks conceived specially for this task and proposes new overapproximation techniques for treating the continuous part as well as the discrete part of the hybrid automaton.

### State set representations and their usage in the reachability analysis of hybrid systems

- Computer Science, Mathematics
- 2019

This work presents results obtained in the field of safety verification for linear hybrid systems whose continuous behavior can be described by linear differential equations, and introduces methods to decompose the search space and replace high-dimensional computations by computations in lowerdimensional subspaces.

### Time-Triggered Conversion of Guards for Reachability Analysis of Hybrid Automata

- Computer ScienceFORMATS
- 2017

This work shows that it is often possible to remove the need to perform high-dimensional geometric operations by combining two model transformations, direct time-triggered conversion and dynamics scaling, and proves the overapproximation error in the conversion can be made arbitrarily small.

### Spread the Work: Multi-threaded Safety Analysis for Hybrid Systems

- Mathematics, Computer ScienceSEFM
- 2018

The method computes a tree of state sets, which together over-approximate reachability by bounded-length executions, and if none of the state sets intersects with a given set of unsafe states then it is proven bounded safety.

### Efficient Parametric Verification of Parametric Timed Automata

- Computer Science
- 2018

This thesis introduces an algorithm to detect non-Zeno runs and its distributed version of it for large-scale models and introduces several smart state exploration techniques with some heuristics, in order to reduce the state space explosion.

### The present work was submitted to the LuFG Theory of Hybrid Systems

- Computer Science
- 2018

This thesis adds state rewards to DTMCs and MDPs and extends the syntax and semantics of HyperPCTL to allow reasoning about the rewards of paths in a model and modify an existing model checking algorithm to work with the modified logic.

### Verification for Continuous and Hybrid Systems Implementation of Interval Arithmetic in CORA 2016 ( Tool Presentation )

- Computer Science
- 2016

The described techniques are implemented as a class in CORA, a free MATLAB tool for continuous reachability analysis and are the only freely available implementation of interval arithmetic that runs under current MATLAB versions.

### Probably Approximate Safety Verification of Hybrid Dynamical Systems

- Computer ScienceICFEM
- 2019

A method based on linear programming that facilitates reliable safety verification of hybrid dynamical systems subject to perturbation inputs over the infinite time horizon and provides formal safety guarantees expressed using error probabilities and confidences is presented.

### Synthesis of P-Stable Abstractions

- Computer ScienceSEFM
- 2020

The representational power of P-stable abstractions are shown, that provide a high-level account of the behavior of the system with respect to stability, and the effectiveness of a compositional approach is evaluated, that allows synthesizing P- stable abstractions for significant systems.

### Revisiting Polyhedral Analysis for Hybrid Systems

- MathematicsSAS
- 2019

This paper motivates the implementation of specialized versions of several well known abstract operators, as well as the adoption of a heuristic technique for the handling of finite collections of polyhedra, showing their impact on the efficiency of the analysis tool.

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