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2008, Volume 4, Issue 4: 713-726. Doi: 10.3934/jimo.2008.4.713
This issue Previous Article An approach to controlled mechanical systems based on the multiobjective optimization technique Next Article Some characterizations and applications on strongly $\alpha$-preinvex and strongly $\alpha$-invex functions

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

  • 1.

    School of Management, Fudan University, Shanghai 200433

  • 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:  October 2008
Abstract / Introduction Related Papers Cited by
    Abstract
  • 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.
    Mathematics Subject Classification: Primary: 37V45; Secondary: 93C65.

    Citation:
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