research-article

Facetal abstraction for non-linear dynamical systems based on δ-decidable SMT

Authors:

Jana Dražanová,

Samuel Pastva, and

David ŠafránekAuthors Info & Claims

HSCC '19: Proceedings of the 22nd ACM International Conference on Hybrid Systems: Computation and Control

April 2019

Pages 99 - 108

https://doi.org/10.1145/3302504.3311793

Published: 16 April 2019 Publication History

Abstract

Formal analysis of non-linear continuous and hybrid systems is a hot topic. A common approach builds on computing a suitable finite discrete abstraction of the continuous system. In this paper, we propose a facetal abstraction which eliminates certain drawbacks of existing abstractions. The states of our abstraction are built primarily from facets of a polytopal partitioning of the system's state space taking thus into account the flow of the continuous dynamics and leading to global over-approximation. The transition system construction is based on queries solved by a δ-decision SMT-solver. The method is evaluated on several case studies.

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Cited By

Karimoddini AKarimadini MLin H(2022)Decentralized modular hybrid supervisory control for the formation of unmanned helicoptersIET Control Theory & Applications10.1049/cth2.1237517:2(210-222)Online publication date: 22-Nov-2022
https://doi.org/10.1049/cth2.12375
Niehren JVaginay AVersari C(2022)Abstract Simulation of Reaction Networks via Boolean NetworksComputational Methods in Systems Biology10.1007/978-3-031-15034-0_2(21-40)Online publication date: 14-Sep-2022
https://dl.acm.org/doi/10.1007/978-3-031-15034-0_2

Index Terms

Facetal abstraction for non-linear dynamical systems based on δ-decidable SMT
1. Computing methodologies
  1. Modeling and simulation
    1. Model development and analysis
      1. Model verification and validation
2. General and reference
  1. Cross-computing tools and techniques
    1. Verification

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cover image ACM Conferences

HSCC '19: Proceedings of the 22nd ACM International Conference on Hybrid Systems: Computation and Control

April 2019

299 pages

ISBN:9781450362825

DOI:10.1145/3302504

Program Chairs:
Necmiye Ozay
University of Michigan
,
Pavithra Prabhakar
Kansas State University

Copyright © 2019 ACM.

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Published: 16 April 2019

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Czech Science Foundation

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HSCC '19

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SIGBED

HSCC '19: 22nd ACM International Conference on Hybrid Systems: Computation and Control

April 16 - 18, 2019

Quebec, Montreal, Canada

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Cited By

Karimoddini AKarimadini MLin H(2022)Decentralized modular hybrid supervisory control for the formation of unmanned helicoptersIET Control Theory & Applications10.1049/cth2.1237517:2(210-222)Online publication date: 22-Nov-2022
https://doi.org/10.1049/cth2.12375
Niehren JVaginay AVersari C(2022)Abstract Simulation of Reaction Networks via Boolean NetworksComputational Methods in Systems Biology10.1007/978-3-031-15034-0_2(21-40)Online publication date: 14-Sep-2022
https://dl.acm.org/doi/10.1007/978-3-031-15034-0_2

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