Title : 
Polytopic control invariant sets for differential inclusion systems: A viability theory approach
         
        
            Author : 
Fiacchini, M. ; Tarbouriech, S. ; Prieur, C.
         
        
            Author_Institution : 
LAAS, CNRS, Toulouse, France
         
        
        
            fDate : 
June 29 2011-July 1 2011
         
        
        
        
            Abstract : 
This paper presents a criterion to characterize control invariant polytopes for differential inclusion systems. The practice-oriented method, based on viability theory and convex analysis, can be applied to determine computational procedures to obtain families of control invariant polytopes. The criterion is based on a necessary and sufficient condition for viability to hold at any point on the boundary of a polytope.
         
        
            Keywords : 
inclusions; invariance; nonlinear systems; set theory; computational procedure; control invariant polytopes; convex analysis; differential inclusion system; polytopic control invariant set; practice-oriented method; viability theory; Aerospace electronics; Level set; Linear systems; Nonlinear systems; Optimization; Trajectory;
         
        
        
        
            Conference_Titel : 
American Control Conference (ACC), 2011
         
        
            Conference_Location : 
San Francisco, CA
         
        
        
            Print_ISBN : 
978-1-4577-0080-4
         
        
        
            DOI : 
10.1109/ACC.2011.5991114