JuliaReach / Reachability.jl

Reachability and Safety of Nondeterministic Dynamical Systems
MIT License
50 stars 4 forks source link

Handling of Zeno behavior #247

Open schillic opened 5 years ago

schillic commented 5 years ago

After we have an algorithm for hybrid systems in #138, we might face the problem of Zeno behavior, i.e., infinitely many discrete jumps in finite time. I got the suggestion to look at works for timed systems in bounded time (in unbounded time you do not have this problem for timed systems).

schillic commented 5 years ago

Such an issue may even arise in non-Zeno systems. If the time step is too big, the transition may still be taken within the first time interval (and hence the analysis may not terminate).