Logical Foundations of Cyber-Physical Systems
Cyber-physical systems (CPSs) combine cyber capabilities, such as computation or communication, with physical capabilities, such as motion or other physical processes. Cars, aircraft, and robots are prime examples, because they move physically in space in a way that is determined by discrete compute...
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| Language: | English |
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Cham :
Springer International Publishing : Imprint: Springer,
2018.
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| Edition: | 1st ed. 2018. |
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| Online Access: | https://doi.org/10.1007/978-3-319-63588-0 |
Table of Contents:
- Cyberphysical Systems: Introduction
- Differential Equations and Domains
- Choice and Control
- Safety and Contracts
- Dynamical Systems and Dynamic Axioms
- Truth and Proof
- Control Loops and Invariants
- Events and Responses
- Reactions and Delays
- Differential Equations and Differential Invariants
- Differential Equations and Proofs
- Ghosts and Differential Ghosts
- Logical Foundations and CPS
- Differential Invariants and Proof Theory
- Verified Models and Verified Runtime Validation
- Hybrid Systems and Games
- Winning Strategies and Regions
- Winning and Proving Hybrid Games
- Game Proofs and Separations
- Virtual Substitution and Real Equations
- Virtual Substitution and Real Arithmetic
- Axioms and Uniform Substitutions
- Differential Axioms and Uniform Substitutions
- Model Checking and Reachability Analysis
- Distributed Systems and Hybrid Systems.