Logical Foundations of Cyber-Physical Systems
by
 
Platzer, André. author.

Title
Logical Foundations of Cyber-Physical Systems

Author
Platzer, André. author.

ISBN
9783319635880

Personal Author
Platzer, André. author.

Physical Description
XXXI, 639 p. 182 illus., 176 illus. in color. online resource.

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.

Abstract
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 computerized control algorithms. Designing these algorithms is challenging due to their tight coupling with physical behavior, while it is vital that these algorithms be correct because we rely on them for safety-critical tasks. This textbook teaches undergraduate students the core principles behind CPSs. It shows them how to develop models and controls; identify safety specifications and critical properties; reason rigorously about CPS models; leverage multi-dynamical systems compositionality to tame CPS complexity; identify required control constraints; verify CPS models of appropriate scale in logic; and develop an intuition for operational effects. The book is supported with homework exercises, lecture videos, and slides.

Subject Term
Computer science.
 
Artificial intelligence.
 
Logic, Symbolic and mathematical.
 
System safety.
 
Mathematical Logic and Formal Languages. http://scigraph.springernature.com/things/product-market-codes/I16048
 
Artificial Intelligence. http://scigraph.springernature.com/things/product-market-codes/I21000
 
Mathematical Logic and Foundations. http://scigraph.springernature.com/things/product-market-codes/M24005
 
Control, Robotics, Mechatronics. http://scigraph.springernature.com/things/product-market-codes/T19000
 
Quality Control, Reliability, Safety and Risk. http://scigraph.springernature.com/things/product-market-codes/T22032

Added Corporate Author
SpringerLink (Online service)

Electronic Access
https://doi.org/10.1007/978-3-319-63588-0


LibraryMaterial TypeItem BarcodeShelf NumberStatus
IYTE LibraryE-Book2084215-1001QA8.9 -QA10.3Online Springer