Reachability for interval max-plus linear systems

This paper proposes the interval max-plus linear system and introduces the reachability to such systems. A state of an interval max-plus linear system is said to be reachable if it can always be attainable from the initial state, no mater how the state and input matrices vary in a certain range. It...

Full description

Saved in:
Bibliographic Details
Main Authors: Cailu Wang, Yuegang Tao, Peng Yang
Format: Conference Proceeding
Language:English
Subjects:
Algebra
Interval max-plus linear system
Interval reachability equation
Linear systems
Manufacturing systems
Mathematical model
Reachability
Reachability analysis
Strong solvability
Testing
Online Access:Request full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This paper proposes the interval max-plus linear system and introduces the reachability to such systems. A state of an interval max-plus linear system is said to be reachable if it can always be attainable from the initial state, no mater how the state and input matrices vary in a certain range. It is pointed out that an interval max-plus linear system is reachable if and only if the interval reachability equation is strongly solvable. By using the extremal subsystems of the interval reachability equation, the reachability of an interval system can be verified through testing the reachability of a finite number of subsystems. Some examples are presented to illustrate the results.
ISSN:2161-2927
DOI:10.23919/ChiCC.2017.8027716