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The problem studied in this paper is the control of discrete event systems subject to strict temporal constraints using (max, +) algebra. Initially we sought necessary and sufficient conditions for the existence of a causal control law guaranteeing the respect of the temporal constraints. Subsequently, a method for calculating the control law, if any, is proposed. The application which we are interested...
A unified approach to the problem of fault diagnosis is considered for the cases of continuous-time and discrete-time nonlinear and linear system models as well as for discrete-event model. The feature of this approach is that it allows obtaining the unique on the algorithmic level solution of the problem for all above types of the models. Conventional differential geometric and pair algebra of partitions...
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