On the control of max-plus linear system in dioid of interval

Many physical problems can be modelled with the max-plus linear system and some results have been obtained. In this paper, first we will give some results and properties about intervals and present the definition and operations of interval matrices, then we will put forward the control problem for m...

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Bibliographic Details
Published inProceedings of the 33rd Chinese Control Conference pp. 4148 - 4152
Main Authors Zhang, Yanan, Zhang, Zilong, Tao, Yuegang
Format Conference Proceeding
LanguageEnglish
Published TCCT, CAA 01.07.2014
Subjects
Conferences
Dioid
Discrete-event systems
Equations
Feedback Control
Interval Matrix
Linear matrix inequalities
Linear systems
Mathematical model
Max-plus Linear System
Upper bound
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Summary:Many physical problems can be modelled with the max-plus linear system and some results have been obtained. In this paper, first we will give some results and properties about intervals and present the definition and operations of interval matrices, then we will put forward the control problem for max-plus linear systems in interval dioid, in which the state respects the given constraints (i.e. inequality about state variables and interval matrix). Our aim is to find a feedback interval matrix to guarantee the evolution of the system satisfies the restrictions imposed on the state. And we will give a sufficient condition for the existence of the feedback causal interval matrix. In the end, an example illustrates our results.
ISSN:1934-1768
DOI:10.1109/ChiCC.2014.6895633