一类离散事件动态系统的协调控制问题（英文）  

On Coordination Control of A Class of DEDS

作　　者：张文钢 李春桃 Zhang Wengang;Li Chuntao(Basic Science Department,Wuchang Shouyi University,Wuhan 430064,Hubei)

机构地区：[1]武昌首义学院基础科学部

出　　处：《长江大学学报（自然科学版）》2019年第6期120-124,共5页Journal of Yangtze University(Natural Science Edition)

基　　金：2015 Research Plan Guidance Project of Education Department of Hubei Province(B2015202)

摘　　要：通过科恩的极大代数方法讨论了一类具有流水线结构离散事件动态系统的协调控制问题。对无缓冲系统非阻塞均匀时间的控制条件进行了讨论,证明了无缓冲非阻塞均匀时间控制的充分必要条件是线性状态的反馈。系统的重要参数可以通过系统的处理时间矩阵直接表示,同时避免了矩阵维数过大造成的计算复杂性。In this paper, the problem of coordination control for a class of DEDS with flow-shop structure was discussed by the method of Cohen's max-algebra. The non-blocking uniform time control conditions of system without buffer were discussed. It is proved that the necessary and sufficient conditions for the non-blocking uniform time control without buffer are feedback on linear state. The important parameters of system can be expressed directly through the processing time matrix of the system;meanwhile, the complexity of computation caused by too large matrix dimension is avoided.

关 键 词：DEDS 极大代数 特征值 阻塞 协调控制 

分 类 号：O221.2[理学—运筹学与控制论]