In mathematics, the Lyapunov exponent or Lyapunov characteristic exponent of a dynamical system is a quantity that characterizes the rate of separation of ...

Lyapunov function for determining exponential stability. To fix this problem, we skew the level sets slightly, so that the flow of the system crosses the ...

(called global exponential stability, and is stronger than G.A.S.) then, there is a Lyapunov function that proves the system is exponentially stable, i.e., ...

Lyapunov's realization was that stability can be proven without requiring knowledge of the true physical energy, provided a Lyapunov function can be found to ... History · Definition for continuous-time... · Example

The main objective of this paper is to characterize completely the class of nonuniform exponen- tial contractions in terms of Lyapunov functions, both for ...

Продолжительность: 15:34
Опубликовано: 13 нояб. 2018 г.

Lyapunov analysis is used to study either the passive dynamics of a system or the dynamics of a closed-loop system (e.g. the plant and controller connected in a ...

25 окт. 2018 г. · This paper deals with an exponential form for Lyapunov function, in perspective to analyze the Lyapunov characterization of the ...

5 дек. 2013 г. · By using the Lyapunov function method, some criteria on the exponential stability are established. Moreover, the stability criteria obtained are ...

δ 0. Definition [Exponential stability]. The equilibrium state 0 of (1) is exponentially stable, if it is stable in the sense of Lyapunov and there exists a ...