TY - GEN
T1 - Piecewise polynomial Lyapunov functions with guaranteed accuracy
AU - Ahmadi, Amir Ali
AU - Jungers, Raphaël M.
AU - Parrilo, Pablo
AU - Roozbehani, Mardavij
PY - 2010
Y1 - 2010
N2 - We address the stability problem for switched systems. We present new semidefinite programming based methods that appear very efficient in practice. These methods rely on the computation of piecewise defined Lyapunov functions. We compare the state-of-the-art in continuous and discrete time. We raise a few questions, with an emphasis on the computational complexity point of view, and answer some of them.
AB - We address the stability problem for switched systems. We present new semidefinite programming based methods that appear very efficient in practice. These methods rely on the computation of piecewise defined Lyapunov functions. We compare the state-of-the-art in continuous and discrete time. We raise a few questions, with an emphasis on the computational complexity point of view, and answer some of them.
KW - Joint spectral radius
KW - Piece-wise Lyapunov functions
KW - Sum of squares
KW - Switched systems
UR - http://www.scopus.com/inward/record.url?scp=78651248374&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=78651248374&partnerID=8YFLogxK
U2 - 10.1109/EEEI.2010.5662189
DO - 10.1109/EEEI.2010.5662189
M3 - Conference contribution
AN - SCOPUS:78651248374
SN - 9781424486809
T3 - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
SP - 430
BT - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
T2 - 2010 IEEE 26th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2010
Y2 - 17 November 2010 through 20 November 2010
ER -