Extension of diagonal stability and stabilization for continuous-time fractional positive linear systems
type: Item
instance of: scholarly article
title: Extension of diagonal stability and stabilization for continuous-time fractional positive linear systems
zbMATH Open document ID: 1376.34013
author: Xuefeng Zhang
author: Wenchao Huang
published in: Linear Algebra and its Applications
publication date: 2017-08-03T00:00:00Z
review text: In this paper, the authors study an extension about new results on diagonal stability of \textit{Hurwitz-Metzler} matrices. The authors provide sufficient and necessary LMI conditions for diagonal stability of FPLS. Moreover, the controller synthesis problem of FPLS is proposed, which can guarantee the closed-loop FPLS to be \textit{Hurwitz } stable and positive. The results can be regarded as the extension of diagonal stability and stabilization based on LMIs approach from continuous FPLS to continuous IPLS.
reviewed by: Thanin Sitthiwirattham
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 34A30
zbMATH DE Number: 6756347
zbMATH Keywords: fractional positive linear system
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: Hurwitz matrix
zbMATH Keywords: Metzler matrix
zbMATH Keywords: diagonal stability
MaRDI profile type: Publication
full work available at URL: j.laa.2017.06.018
OpenAlex ID: W2626596024
cites work: Q4233638
cites work: Q4199989
cites work: Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
cites work: Stability properties for generalized fractional differential systems
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: LMI stability conditions for fractional order systems
cites work: Pseudo-state feedback stabilization of commensurate fractional order systems
cites work: A positive linear discrete-time model of capacity planning and its controllability properties
cites work: Diagonal Stability on Cactus Graphs and Application to Network Stability Analysis
cites work: Q4509145
cites work: Q4040931
cites work: Q3943082
cites work: Hurwitz Stability of Metzler Matrices
cites work: An alternative proof of the Barker, Berman, Plemmons (BBP) result on diagonal stability and extensions
cites work: On the simultaneous diagonal stability of a pair of positive linear systems
cites work: LMI approach to linear positive system analysis and synthesis
cites work: Selected problems of fractional systems theory.
cites work: Diagonal Riccati stability and positive time-delay systems
DOI: 10.1016/J.LAA.2017.06.018
description: scientific article; zbMATH DE number 6756347