Titlebook: Logical Foundations of Cyber-Physical Systems; André Platzer Textbook 2018 Springer International Publishing AG, part of Springer Nature 2

賭博

Choice & Controllementary discrete and continuous statements to obtain . as a core programming language for cyber-physical systems. In addition to embracing differential equations, semantical generalizations to mathematical reals as well as operators for nondeterminism are important to make hybrid programs appropriate for cyber-physical systems.

織物

減震

Dynamical Systems & Dynamic Axiomsa verification logic for CPS. While more advanced aspects of loops and differential equations will be discussed in subsequent chapters, this chapter lays a pivotal foundation for all dynamical aspects of differential dynamic logic and its hybrid programs.

鋸齒狀

Truth & Prooftems that we already identified for rigorous reasoning about hybrid programs. A high-level interface of proofs with reasoning for real arithmetic as well as techniques for logically simplifying real-arithmetic questions are discussed as well.

ICLE

為敵

Events & Responsesive events provides systematic ways of designing event-triggered CPS controllers and leads to relatively simple safety arguments. But event-triggered systems are hard if not impossible to implement, because they require perfect event detection. That makes this chapter an ideal setting for a number of crucial modeling lessons for CPS.

Externalize

自負的人

anchor

消息靈通

Reactions & Delaysthin a certain maximum time period, or execute periodically with at least a certain frequency. While time-triggered control models can be easier to develop than event-triggered control models, the additional effects of reaction delays complicate the control logic and safety arguments.