TY - GEN

T1 - Time-bounded reachability for initialized hybrid automata with linear differential inclusions and rectangular constraints

AU - Roohi, Nima

AU - Viswanathan, Mahesh

PY - 2014

Y1 - 2014

N2 - Initialized hybrid automata with linear differential inclusions and rectangular constraints are hybrid automata where the invariants, guards, resets, and initial values are given by rectangular constraints, the flows are described by linear differential inclusions of the form ax + b ◁1 x ◁2 cx + d (with ◁1, ◁2 ∈ {<, ≤}), and a variable x is reset on mode change whenever the differential inclusion describing the dynamics for x changes. Such automata strictly subsume initialized rectangular automata. Our main result is that while the control state reachability problem for such automata is undecidable, the time-bounded reachability problem is decidable.

AB - Initialized hybrid automata with linear differential inclusions and rectangular constraints are hybrid automata where the invariants, guards, resets, and initial values are given by rectangular constraints, the flows are described by linear differential inclusions of the form ax + b ◁1 x ◁2 cx + d (with ◁1, ◁2 ∈ {<, ≤}), and a variable x is reset on mode change whenever the differential inclusion describing the dynamics for x changes. Such automata strictly subsume initialized rectangular automata. Our main result is that while the control state reachability problem for such automata is undecidable, the time-bounded reachability problem is decidable.

UR - http://www.scopus.com/inward/record.url?scp=84958527386&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84958527386&partnerID=8YFLogxK

U2 - 10.1007/978-3-319-10512-3_14

DO - 10.1007/978-3-319-10512-3_14

M3 - Conference contribution

AN - SCOPUS:84958527386

SN - 9783319105116

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 191

EP - 205

BT - Formal Modeling and Analysis of Timed Systems - 12th International Conference, FORMATS 2014, Proceedings

PB - Springer

T2 - 12th International Conference on Formal Modeling and Analysis of Timed Systems, FORMATS 2014

Y2 - 8 September 2014 through 10 September 2014

ER -