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 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.
Max-plus Linear System Feedback Control Dioid Interval Matrix
ZHANG Yanan ZHANG Zilong TAO Yuegang
College of Mathematics and Information Science,Hebei Normal University,Shijiazhuang,050024 Key Lab of Computational Mathematics and Applications of Hebei Province,Shijiazhuang,050024
国际会议
The 33th Chinese Control Conference第33届中国控制会议
南京
英文
4148-4152
2014-07-28（万方平台首次上网日期，不代表论文的发表时间）