Abstract: In accordance with aspects of the present principles, an over-approximation of reachable states of a hybrid system may be determined by utilizing template polyhedra. Policy iteration may be utilized to obtain an over-approximation of reachable states in the form of a relaxed invariant based upon template polyhedra expressions. The relaxed invariant may be used to construct a flowpipe to refine the over-approximation and thereby determine the reachable states of the hybrid system.
Type:
Grant
Filed:
September 23, 2008
Date of Patent:
January 8, 2013
Assignee:
NEC Laboratories America, Inc.
Inventors:
Sriram Sankaranarayanan, Franjo Ivancic