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October  2008, 4(4): 713-726. doi: 10.3934/jimo.2008.4.713

## A unified model for state feedback of discrete event systems II: Control synthesis problems

 1 School of Management, Fudan University, Shanghai 200433, China 2 School of Science, Shenzhen University, Guang Dong 518060 3 Department of Intelligence and Informatics, Konan University, 8-9-1 Okamoto, Kobe 658-8501

Received  March 2008 Revised  August 2008 Published  November 2008

This paper studies control synthesis problems in a new model framework for discrete event state feedback control systems. The new model framework consists of a basis model as well as concurrent models. We study relationships between the basis model and the concurrent models from the perspective of a predicate being controllable and synthesizable. We derive a linear order for the models, and moreover, show that they are equivalent under certain conditions. Based on this, three conditions are presented for synthesizing a predicate completely. Finally, the optimal control synthesis problem for both the basis model and the concurrent models is studied.
Citation: Qiying Hu, Chen Xu, Wuyi Yue. A unified model for state feedback of discrete event systems II: Control synthesis problems. Journal of Industrial & Management Optimization, 2008, 4 (4) : 713-726. doi: 10.3934/jimo.2008.4.713
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