publication . Preprint . Article . Other literature type . 2018

Converse Theorems for Safety and Barrier Certificates

Ratschan, Stefan;
Open Access English
  • Published: 01 Aug 2018
  • Country: Czech Republic
Abstract
An important tool for proving safety of dynamical systems is the notion of a barrier certificate. In this technical note we prove that every robustly safe ordinary differential equation has a barrier certificate. Moreover, we show a construction of such a barrier certificate based on a set of states that is reachable in finite time.
Subjects
arXiv: Computer Science::Cryptography and SecurityComputer Science::Symbolic Computation
ACM Computing Classification System: ComputingMilieux_THECOMPUTINGPROFESSION
free text keywords: Safety, Robustness, Radio frequency, Differential equations, Tools, Computer science, Computer Science - Systems and Control, Control and Systems Engineering, Electrical and Electronic Engineering, Computer Science Applications, Controllability, Differential equation, Applied mathematics, Dynamical systems theory, Mathematics, Certificate, Mathematical optimization, Converse, Robustness (computer science), Ordinary differential equation, Finite time
Related Organizations
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publication . Preprint . Article . Other literature type . 2018

Converse Theorems for Safety and Barrier Certificates

Ratschan, Stefan;