TY - GEN
T1 - On the analysis of systems described by classes of partial differential equations
AU - Papachristodoulou, Antonis
AU - Peet, Matthew Monnig
PY - 2006
Y1 - 2006
N2 - We provide an algorithmic approach for the analysis of infinite dimensional systems described by Partial Differential Equations. In particular, we look at the stability properties of a class of strongly continuous semigroups generated by nonlinear parabolic partial differential equations with appropriate boundary conditions. Our approach is based on the application of semidefinite programming to the computation of Lyapunov-type certificates defined by polynomial functions. An illustrative example is given.
AB - We provide an algorithmic approach for the analysis of infinite dimensional systems described by Partial Differential Equations. In particular, we look at the stability properties of a class of strongly continuous semigroups generated by nonlinear parabolic partial differential equations with appropriate boundary conditions. Our approach is based on the application of semidefinite programming to the computation of Lyapunov-type certificates defined by polynomial functions. An illustrative example is given.
UR - http://www.scopus.com/inward/record.url?scp=39649083149&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=39649083149&partnerID=8YFLogxK
U2 - 10.1109/cdc.2006.377815
DO - 10.1109/cdc.2006.377815
M3 - Conference contribution
AN - SCOPUS:39649083149
SN - 1424401712
SN - 9781424401710
T3 - Proceedings of the IEEE Conference on Decision and Control
SP - 747
EP - 752
BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 45th IEEE Conference on Decision and Control 2006, CDC
Y2 - 13 December 2006 through 15 December 2006
ER -