Finite-time stability and stabilization of nonlinear quadratic systems with jumps
type: Item
instance of: scholarly article
title: Finite-time stability and stabilization of nonlinear quadratic systems with jumps
zbMATH Open document ID: 1407.93321
DOI: 10.1155/2014/904607
author: Minsong Zhang
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: This paper investigates the problems of finite-time stability and finite-time stabilization for nonlinear quadratic systems with jumps. The jump time sequences here are assumed to satisfy some given constraints. Based on Lyapunov function and a particular presentation of the quadratic terms, sufficient conditions for finite-time stability and finite-time stabilization are developed to a set containing bilinear matrix inequalities (BLIMs) and linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness of the proposed methodology.
Mathematics Subject Classification ID: 93D05
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 7017557
Wikidata QID: Q59070560
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/904607
OpenAlex ID: W2034022173
cites work: Q5555195
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description: scientific article; zbMATH DE number 7017557