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Safety Verification of Black Box Cyber-Physical Systems via Lyapunov Stability Certificates

Research Project

Project/Area Number 24K23861
Research Category

Grant-in-Aid for Research Activity Start-up

Allocation TypeMulti-year Fund
Review Section 1001:Information science, computer engineering, and related fields
Research InstitutionKyoto University

Principal Investigator

Hsieh Chiao (謝橋)  京都大学, 情報学研究科, 特定助教 (71006426)

Project Period (FY) 2024-07-31 – 2026-03-31
Project Status Granted (Fiscal Year 2024)
Budget Amount *help
¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2025: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2024: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords形式検証 / サイバーフィジカルシステム / 安定性解析 / ブラックボックスモデル
Outline of Research at the Start

Verification and validation (V&V) is a crucial procedure for certifying the safety of cyber-physical systems (CPS) such as self-driving cars. The goal is to certify the safety through rigorous analyses on mathematical models of CPS. This project particularly studies stability analyses on CPS models by only sampling inputs and outputs from CPS, i.e., a black box approach. The project further aims to address high volume of samples and speed up the stability analysis by parallelization. PI believes that this is a step toward a practical V&V framework for safety-critical CPS in the future.

Outline of Annual Research Achievements

This year, PI followed the project proposal to achieve the expected result in Phase 1. The major goal in Phase 1 is to establish a baseline black-box analysis for certifying the Lyapunov stability of continuous-time dynamics. Combining the recent idea of sampling and exploiting Lipschitz continuity to approximate the continuous-time dynamics, PI developed a new analysis based on the learner-verifier architecture from Counterexample-Guided Inductive Synthesis, and PI extended the analysis with parallelized verification for different regions of the state space. This new analysis has significant reduced the number of required samples for certifying the stability of 2D and 3D systems compared with the existing analysis. In addition, PI provided a rigorous termination guarantee to ensure the analysis will always finish and answer if the continuous-time dynamics is provably stable, or no proofs can be found in the predefined hypothesis space.

PI has coauthored and submitted a research conference paper summarizing the research outcome in this study, and the paper is accepted by and will be published in the 28th ACM International Conference on Hybrid Systems: Computation and Control (HSCC 2025) in May 2025.

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

PI has developed a new black-box analysis as planned, and the analysis has shown great improvement over the existing analysis. The research paper is further accepted by the top international conference.

Strategy for Future Research Activity

Next year, PI plans to follow the project proposal and achieve the goal for Phase 2. The major goal in Phase 2 is to extend the above-mentioned baseline analysis to support hybrid systems with both continuous-time dynamics and discrete-time transitions. This will enable the analysis on more realistic cyber-physical systems. PI also plans to improve the baseline analysis to handle systems with 4D or more dimensions by better parallelization and optimization techniques.

Report

(1 results)
  • 2024 Research-status Report
  • Research Products

    (6 results)

All 2025 2024 Other

All Journal Article (2 results) (of which Int'l Joint Research: 1 results,  Peer Reviewed: 2 results,  Open Access: 1 results) Presentation (2 results) (of which Int'l Joint Research: 1 results) Remarks (2 results)

  • [Journal Article] Certifying Lyapunov Stability of Black-Box Nonlinear Systems via Counterexample Guided Synthesis2025

    • Author(s)
      Chiao Hsieh, Masaki Waga, Kohei Suenaga
    • Journal Title

      Proceedings of the 28th ACM International Conference on Hybrid Systems: Computation and Control

      Volume: - Pages: 1-11

    • DOI

      10.1145/3716863.3718047

    • Related Report
      2024 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] GAS: Generating Fast & Accurate Surrogate Models for Simulations of Autonomous Vehicle Systems2024

    • Author(s)
      Keyur Joshi, Chiao Hsieh, Sayan Mitra, Sasa Misailovic
    • Journal Title

      Proceedings of 2024 IEEE 35th International Symposium on Software Reliability Engineering (ISSRE)

      Volume: - Pages: 260-271

    • DOI

      10.1109/issre62328.2024.00033

    • Related Report
      2024 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] Perception Contracts for Safety of ML-Enabled Systems2025

    • Author(s)
      Chiao Hsieh
    • Organizer
      第27回プログラミングおよびプログラミング言語ワークショップ
    • Related Report
      2024 Research-status Report
  • [Presentation] GAS: Generating Fast & Accurate Surrogate Models for Simulations of Autonomous Vehicle Systems2024

    • Author(s)
      Chiao Hsieh
    • Organizer
      2024 IEEE 35th International Symposium on Software Reliability Engineering (ISSRE)
    • Related Report
      2024 Research-status Report
    • Int'l Joint Research
  • [Remarks] ICE-learning for Lyapunov certificates

    • URL

      https://github.com/CyPhAi-Project/pricely

    • Related Report
      2024 Research-status Report
  • [Remarks] Artifact for GAS

    • URL

      https://github.com/uiuc-arc/GAS

    • Related Report
      2024 Research-status Report

URL: 

Published: 2024-08-01   Modified: 2025-12-26  

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