Lyapunov like functions are very useful to prove unstable behavior of a system and the example above is one of such cases. There are more lucky cases in which ...

So the distance V(x) = d(x,0) is not a. Lyapunov function because the system dynamics is in the kernel of DV(x). Maybe another smooth function would.

Lyapunov functions and ISS Lyapunov functions are invaluable tools for robustness analysis in model predictive control (MPC). Here, we present a Lyapunov-like ...

Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the stability of an equilibrium of an ODE. Definition · Basic Lyapunov theorems for... · Example

These Lyapunov-like results can be useful because constructing and analyzing density functions is often difficult in comparison to Lyapunov-like analysis. This ...

The definition of a Lyapunov-like function can be simply stated as follows. Definition 2.32 (Lyapunov-like function). The locally Lipschitz function. Ψ(x) is ...

29 сент. 2017 г. · I am trying better understand the description of a Lyapunov function. Say we're considering the definition of asymptotic stability of the ...

24 авг. 2020 г. · inal purpose for which they were devised is to serve as a Lyapunov-like function for the state estimation problem. In the last two chapters ...

A novel class of Lyapunov-like barrier functions is introduced and used to encode multiple, non-trivial control objectives, such as collision avoidance, ...

We generalize the dissipative relation that usually defines a Control Lyapunov Function by introducing a weaker differential inequality, which involves both the ...