TY - GEN

T1 - Distributed lyapunov functions in analysis of graph models of software

AU - Roozbehani, Mardavij

AU - Megretski, Alexandre

AU - Frazzoli, Emilio

AU - Feron, Eric

N1 - Generated from Scopus record by KAUST IRTS on 2021-02-18

PY - 2008/1/1

Y1 - 2008/1/1

N2 - In previous works, the authors introduced a framework for software analysis, which is basedon optimization of Lyapunov invariants. These invariants prove critical software properties suchas absence of overflow and termination in finite time. In this paper, graph models of softwareare introduced and the software analysis framework is further developed and extended on graphmodels. A distributed Lyapunov function is assigned to the software by assigning a Lyapunovfunction to every node on its graph model. The global decremental condition is then enforced byrequiring that the Lyapunov functions on each node decrease as transitions take place along thearcs. The concept of graph reduction and optimality of graphs for Lyapunov analysis is brieflydiscussed. © 2008 Springer-Verlag Berlin Heidelberg.

AB - In previous works, the authors introduced a framework for software analysis, which is basedon optimization of Lyapunov invariants. These invariants prove critical software properties suchas absence of overflow and termination in finite time. In this paper, graph models of softwareare introduced and the software analysis framework is further developed and extended on graphmodels. A distributed Lyapunov function is assigned to the software by assigning a Lyapunovfunction to every node on its graph model. The global decremental condition is then enforced byrequiring that the Lyapunov functions on each node decrease as transitions take place along thearcs. The concept of graph reduction and optimality of graphs for Lyapunov analysis is brieflydiscussed. © 2008 Springer-Verlag Berlin Heidelberg.

UR - http://link.springer.com/10.1007/978-3-540-78929-1_32

UR - http://www.scopus.com/inward/record.url?scp=62949095739&partnerID=8YFLogxK

U2 - 10.1007/978-3-540-78929-1_32

DO - 10.1007/978-3-540-78929-1_32

M3 - Conference contribution

SN - 3540789286

SP - 443

EP - 456

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

PB - Springer Verlag

ER -