Dynamical Systems & Dynamic Axioms.pdf

05-dynax.pdf
Preview of Dynamical systems & dynamic axioms
🔗 Source: lfcps.org
📊 Size: 2 MB
👤 Author: André Platzer
⬇️ Downloads: 144

Summary

Chapter 5 of the lecture notes on Foundations of Cyber-Physical Systems focuses on dynamical systems and dynamic axioms. It develops a logical characterization of the dynamics of hybrid programs in differential dynamic logic, investigating fundamental compositional reasoning principles. The chapter introduces dynamic axioms for dynamical systems, enabling rigorous reasoning for CPS models and beginning an axiomatization of differential dynamic logic. The goal is to cover all cyber-physical systems by identifying one fundamental reasoning principle for each of the operators of differential dynamic logic and its hybrid programs. The chapter is of central significance for the Foundations of Cyber-Physical Systems, illustrating the logical trichotomy between syntax, semantics, and axiomatics. Key learning goals include understanding the core principles behind CPS, reasoning rigorously about CPS models, and developing a deep understanding of the semantics of CPS models.

Description

Chapter 5 of the lecture notes on Foundations of Cyber-Physical Systems focuses on dynamical systems and dynamic axioms.

Technical Information

  • File Format: PDF
  • File Size: 2 MB
  • Pages: 35
  • Language: EN
  • Author: André Platzer
  • Total Downloads: 144
  • Last Updated: 1 week ago

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