<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.</p></abstract>

Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity, asymptotic stability, reachability and observability are established. The discussion is illustrated with numerical examples.

Positive 2D Discrete-Time Linear Lyapunov Systems

Institute of Control and Industrial Electronics, Warsaw University of Technology, Koszykowa 75, 00-662 Warsaw, Poland

International Journal of Applied Mathematics and Computer Science

{"article-title":"Positive 2D Discrete-Time Linear Lyapunov Systems"}

Two models of positive 2D discrete-time linear Lyapunov systems are introduced. For both the models necessary and sufficient conditions for positivity,...

Positive 2D Discrete-Time Linear Lyapunov Systems

Published Online: Apr 02, 2009

Page range: 95 - 106

DOI: https://doi.org/10.2478/v10006-009-0009-3

Keywords
positivity, Lyapunov systems, reachability, observability

This content is open access.

Positive 2D Discrete-Time Linear Lyapunov Systems

Published Online: Apr 02, 2009

Page range: 95 - 106

DOI: https://doi.org/10.2478/v10006-009-0009-3

Keywordspositivity, Lyapunov systems, reachability, observability

This content is open access.

Keywords
positivity, Lyapunov systems, reachability, observability