Paper Info
Title
On Diagonal Stability of Positive Systems with Switches and Delays.
Abstract
We consider linear positive systems with delay and switchings of operation modes. We establish conditions under which it is possible to construct a common Lyapunov–Krasovskii diagonal functional for the family of subsystems corresponding to the system with switchings in consideration. These conditions are formulated in terms of the feasibility of auxiliary systems of linear algebraic inequalities. In addition, we study the problem of the existence of a diagonal functional of a special form. We also show that our results can be used to analyze the stability of some classes of nonlinear positive systems with delay.
Year
DOI
Venue
2018
10.1134/S0005117918120020
Automation and Remote Control
Keywords
Field
DocType
switching systems, delays, diagonal stability, positive system, linear inequalities
Diagonal,Applied mathematics,Nonlinear system,Algebraic number,Control theory,Linear inequality,Mathematics,Positive systems
Journal
Volume
Issue
ISSN
79
12
0005-1179
Citations 
PageRank 
References 
0
0.34
9
Authors
2
Name
Order
Citations
PageRank
Alexander Yu. Aleksandrov162.92
Oliver Mason210712.58