# American Institute of Mathematical Sciences

2016, 6(3): 305-317. doi: 10.3934/naco.2016013

## Development of concurrent structural decentralised discrete event system using bisimulation concept

 1 The School of Engineering, The University of South Australia, Mawson Lakes, SA 5095, Australia

Received  April 2015 Revised  September 2016 Published  September 2016

This paper presents a concurrent structural decentralised control in the framework of supervisory control theory using bisimulation concept. It is a way to weaken the shared-event-marking condition of structural decentralised control developed by Lee and Wong [7]. The sufficient conditions to guarantee the global optimality achieved by the concurrent actions of simpler decentralised control have been presented. The developed condition becomes specification dependent, however, the other structural condition, the mutual controllability condition, is still applied on the structure of the system. Hence the computational savings are still achievable. An example is provided to illustrate the result.
Citation: Sang-Heon Lee. Development of concurrent structural decentralised discrete event system using bisimulation concept. Numerical Algebra, Control & Optimization, 2016, 6 (3) : 305-317. doi: 10.3934/naco.2016013
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