Modeling and Control of Hybrid Timed Event Graphs with Multipliers Using (Min, +) Algebra

Authors:
S. Hamaci;J.-L. Boimond;S. Lahaye
Affiliations:
LISA, Angers, France 49000;LISA, Angers, France 49000;LISA, Angers, France 49000
Venue:
Discrete Event Dynamic Systems
Year:
2006

Citing 5
Cited 1

On Hybrid Petri Nets

Discrete Event Dynamic Systems
Input-Output Relation and Time-Optimal Control of a Classof Hybrid Petri Nets Using (\min,+) Semiring

Discrete Event Dynamic Systems
Linear Periodic Systems Over Dioids

Discrete Event Dynamic Systems
Discrete, Continuous, and Hybrid Petri Nets

Discrete, Continuous, and Hybrid Petri Nets
Brief Model reference control for timed event graphs in dioids

Automatica (Journal of IFAC)

Just in Time Control of Constrained (max,+)-Linear Systems

Discrete Event Dynamic Systems

Quantified Score

Hi-index	0.00

Visualization

Abstract

We study a subclass of Petri nets, called hybrid timed event graphs with multipliers, or equivalently, hybrid timed weighted marked graphs, composed of continuous and discrete graphs interconnected among themselves. Such graphs can be modeled by using a particular algebra, called dioid, defined on a set of operators and endowed with the pointwise minimum operation as addition and the composition operation as multiplication. A just in time control method of these graphs based on residuation theory is proposed.