LMI based principles in strictly Metzlerian systems control design
type: Item
instance of: scholarly article
title: LMI based principles in strictly Metzlerian systems control design
zbMATH Open document ID: 1427.93192
DOI: 10.1155/2018/9590253
author: Dušan Krokavec
author: Anna Filasová
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: The paper is concerned with the design requirements that relax the existing conditions reported in the previous literature for continuous-time linear positive systems, reformulating the linear programming approach by the linear matrix inequalities principle. Incorporating an associated structure of linear matrix inequalities, combined with the Lyapunov inequality guaranteeing asymptotic stability of positive system structures, the conditions are presented, with which the state-feedback controllers and the system state observers can be designed. A numerical example illustrates the proposed conditions.
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 93B25
Mathematics Subject Classification ID: 93B52
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 7019792
describes a project that uses: SeDuMi Interface
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2018/9590253
OpenAlex ID: W2884377813
cites work: Positive systems. Theory and applications, POSTA 2016. Selected papers based on the presentations at the 5th international symposium on positive systems, Rome, Italy, September 14--16, 2016
cites work: Strictly totally positive systems
cites work: \((M, \beta)\)-stability of positive linear systems
cites work: \(\ell_1\)-induced norm and controller synthesis of positive systems
cites work: Robust Stability of positive continuous time systems
cites work: Stability and stabilization of positive fractional linear systems by state-feedbacks
cites work: Design of Positive Linear Observers for Positive Linear Systems via Coordinate Transformations and Positive Realizations
cites work: Decay rate constrained stabilization of positive systems using static output feedback
cites work: On static output‐feedback stabilization for multi‐input multi‐output positive systems
cites work: Q4509145
cites work: Q3908823
cites work: Q3996218
cites work: Positive 1D and 2D systems
cites work: Q4902474
cites work: Stabilization of positive linear systems
cites work: Sufficient LMI conditions for output feedback control problems
cites work: Q4141183
cites work: An introduction to abstract algebra
cites work: Q5440982
cites work: Q5219575
description: scientific article; zbMATH DE number 7019792