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October 19, 2025Open Access

On the Properties of Optimal-Decay Control Barrier Functions

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Authors

POPio OngMCM. CohenTMTamás G. Molnár

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Overview

This research demonstrates how optimal-decay control barrier functions improve safety conditions in systems, suggesting enhanced controller feasibility.

Key Points

  • The introduction of optimal-decay control barrier functions modifies established inequalities to enhance system behavior.
  • A comprehensive analysis provides conditions ensuring the validity of the proposed framework in maintaining safety in control systems.
  • Demonstrations show that these functions can optimize safety filters effectively within dynamic contexts, such as satellite control.
  • This method extends existing control techniques by addressing constraints related to higher-order dynamics in state space.

Cite This Study

Ong et al. (2025) studied this question.

synapsesocial.com/papers/68f4b10d3d9d770bbc696fcdhttps://doi.org/10.48550/arxiv.2507.12717
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Optimal Control Barrier Functions: Maximizing the Action Space Subject to Control Bounds2024
  2. 2Learning High-Order Control Barrier Functions for Safety-Critical Control with Gaussian Processes2024
  3. 3Safety-Critical Control with Guaranteed Lipschitz Continuity via Filtered Control Barrier Functions2025
  4. 4Composite Adaptive Control Barrier Functions for Safety‐Critical Systems With Parametric Uncertainty2026
  5. 5Relaxed Control Barrier Functions with Slack: Feasible Safety Filtering with Explicit Violation Bounds2026