Determining the domain of attraction of hybrid non-linear systems using maximal Lyapunov functions

Title:

Determining the domain of attraction of hybrid non-linear systems using maximal Lyapunov functions

Creator:

Rozgonyi, Szabolcs, Hangos, Katalin M., and Szederkényi, Gábor

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:3494fb1d-ad3d-4b5d-963d-0c3561e4c1ed
uuid:3494fb1d-ad3d-4b5d-963d-0c3561e4c1ed

Subject:

maximal Lyapunov functions, domain of attracton, and hybrid systems

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

In this article a method is presented to find systematically the domain of attraction (DOA) of hybrid non-linear systems. It has already been shown that there exists a sequence of special kind of Lyapunov functions Vn in a rational functional form approximating a maximal Lyapunov function VM that can be used to find an estimation for the DOA. Based on this idea, an improved method has been developed and implemented in a \textit{Mathematica}-package to find such Lyapunov functions Vn for a class of hybrid (piecewise non-linear) systems, where the dynamics is continuous on the boundary of the different regimes in the state space. In addition, a computationally feasible method is proposed to estimate the DOA using a maximal fitting hypersphere.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

[19]-37

Source:

Kybernetika | 2010 Volume:46 | Number:1

Harvested from:

CDK

Metadata only:

false