26 окт. 2018 г. · We need to pick a Lyapunov function V(x) such that V(x) is positive definite. And we need ˙V(x) to be negative definite to prove asymptotic ... How to find a Lyapunov function? - Math Stack Exchange How to find a Lyapunov function in this case? Другие результаты с сайта math.stackexchange.com

2 янв. 2021 г. · In general, to determine a Lyapunov function appropriate for a given ODE the ODE must have a structure that lends itself to the construction of ...

Lecture 7: Finding Lyapunov Functions1. This lecture gives an introduction into basic methods for finding Lyapunov functions and storage functions for given ...

How to find a Lyapunov function? If the right hand side of the equation is a higher degree polynomial, then it is often convenient to find to find Lyapunov's ...

1. If ˙ V ≤ 0 for all x ∈ U, x ̸= 0 then ˆx is Lyapunov stable; 2. If ˙ V < 0 for all x ∈ U, x ̸= 0 then ˆx is asymptotically stable;

Продолжительность: 15:46
Опубликовано: 25 окт. 2023 г.

12 июл. 2013 г. · It is often good to determine whether or not an equilibrium point of a differential equation model is globally stable.

V (x) is negative semi-definite along trajectories of x = f(x). Then V (x) is known as a Lyapunov function and is stable. Note. If V(a) is negative definite, ...

Lyapunov functions, named after Aleksandr Lyapunov, are scalar functions that may be used to prove the stability of an equilibrium of an ODE.

29 нояб. 2020 г. · I would like to perform the Lyapunov stability of the following linear system. It is the linearization of a quite complex nonlinear system ...