Constructing the Lyapunov function through solving positive dimensional polynomial system
type: Item
instance of: scholarly article
title: Constructing the Lyapunov function through solving positive dimensional polynomial system
zbMATH Open document ID: 1397.93191
DOI: 10.1155/2013/859578
author: Zhenyi Ji
author: Wenyuan Wu
author: Yong Feng
author: Guo-Feng Zhang
published in: Journal of Applied Mathematics
publication date: 2018-10-10T00:00:00Z
review text: Summary: We propose an approach for constructing Lyapunov function in quadratic form of a differential system. First, positive polynomial system is obtained via the local property of the Lyapunov function as well as its derivative. Then, the positive polynomial system is converted into an equation system by adding some variables. Finally, numerical technique is applied to solve the equation system. Some experiments show the efficiency of our new algorithm.
Mathematics Subject Classification ID: 93D30
zbMATH DE Number: 6950912
Wikidata QID: Q59004930
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/859578
OpenAlex ID: W2116678565
description: scientific article; zbMATH DE number 6950912