Abdelhak Guezzi

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The dater equalities constitute a well-known tool which allows the description of timed event graphs in the field of (max, +) algebra. This paper gives an equivalent model in the standard algebra which can describe timed event graphs with inputs and outputs. Concepts of componentwise order and monotone inequalities prove the existence of unique minimum, or(More)
The dater equalities constitutes an appropriate tool which allows a linear description of Timed Event Graphs in the field of (max, +) algebra. This paper proposes an equivalent model in the usual algebra which can describe Timed and P-time Event Graphs. Considering 1-periodic behavior, the application of a variant of Farkas' lemma allows the determination(More)
The aim of this paper is a trajectory tracking control of Timed Event Graphs with specifications defined by a P-time Event Graph. Two problems are solved on a fixed horizon knowing the current state: The optimal control for favorable past evolution; The prediction of the earliest future evolution of the process. These two parts make up an on-line control(More)
This paper presents an estimation approach for Time Event Graphs such as P-Time Event Graphs and Time Stream Event Graphs. It is assumed that the nominal behavior is known and that transitions are partitioned as observable and unobservable transitions. The technique is applied to the detection of changes which are (possibly small) finite variations of(More)
The dater equalities constitutes an appropriate tool which allows a linear description of timed event graph in the field of (max,+) algebra. This paper give an equivalent model in the standard algebra. The application of a variant of Farkas'lemma allow the necessary condition of existence of upper and lower bounds of the cycle time. A linear programming(More)
The aim of this paper is the standardization of the algebraic model of Timed Event Graphs defined in the conventional algebra. The result of the proposed technique is an auto-regressive model similar to the sampled state equations of the automatic control. Based on standard incidence matrices, this new model is a set of inequalities defined on a reduced(More)
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