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A Lyapunov function is a scalar function V(y) defined on a region D that is continuous, positive definite, V(y)>0 for all y!=0.

16 февр. 2018 г. · There is no straightforward method to calculate Lyapunov function but you should care that we compute Lyapunov function to show the stability of a dynamic ... How to find Lyapunov function? - Mathematics Stack Exchange control theory - How to find out a suitable Lyapunov function? How to find a Lyapunov function in this case? Другие результаты с сайта math.stackexchange.com

2 янв. 2021 г. · Using E as a Lyapunov function we can conclude that the origin is Lyapunov stable. If we use E to apply the LaSalle invariance principle, we can ...

The equation, with a negative definite, yields a unique positive definite solution if and only if the eigenvalues of are in the closed left half-plane.

LyapXool is a C++ program to compute complete Lyapunov functions and their orbital derivatives for any two- or three-dimensional dynamical system.

Use lyap to solve the special and general forms of the Lyapunov equation. Lyapunov equations arise in several areas of control, including stability theory.

21 июл. 2020 г. · In this paper we employ SMT solvers to soundly synthesise Lyapunov functions that assert the stability of a given dynamical model.

We propose a deep neural network architecture and associated loss functions for a training algorithm for computing approximate Lyapunov functions.

A control-Lyapunov function is used to test whether a system is asymptotically stabilizable, that is whether for any state x there exists a control u.