DocumentCode
2546521
Title
Geometric characterization of invariant regions for timed continuous Petri nets with control actions
Author
Leclercq, Edouard ; Lefebvre, Dimitri
Author_Institution
GREAH, Univ. Le Havre, Le Havre, France
fYear
2011
fDate
15-17 June 2011
Firstpage
162
Lastpage
167
Abstract
Stability analysis and advanced control design require the characterization of positive invariant regions. In this contribution, this characterization is developed for contPNs with piecewise constant control actions according to a geometric approach. Upper and lower bounds of the maximal positive regions are proposed.
Keywords
Petri nets; control system synthesis; geometry; linear programming; piecewise constant techniques; stability; contPN; control design; geometric characterization; invariant region; linear programming; piecewise constant control action; stability analysis; timed continuous Petri net; Approximation methods; Control theory; Equations; Firing; Linear matrix inequalities; Petri nets; Trajectory; Petri nets; control design; linear programming problems; timed continuous Petri nets;
fLanguage
English
Publisher
ieee
Conference_Titel
Dependable Control of Discrete Systems (DCDS), 2011 3rd International Workshop on
Conference_Location
Saarbrucken
Print_ISBN
978-1-4244-8969-5
Type
conf
DOI
10.1109/DCDS.2011.5970335
Filename
5970335
Link To Document