TY - GEN
T1 - A new criterion for synchronization in deterministic underdamped ratchets
AU - Lu, Pingli
AU - Yang, Ying
AU - Huang, Lin
PY - 2008
Y1 - 2008
N2 - This paper deals with the synchronization for deterministic underdamped ratchets. Using the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov(KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization between two periodically driven identical deterministic, underdamped ratchets. With this new efficient criterion, the direction of transporting particles can be controlled and the distance among particles also can be fixed on some values in order to separate them. Finally, simulation results verified the applicability and validity of the proposed approach.
AB - This paper deals with the synchronization for deterministic underdamped ratchets. Using the technique derived from pendulum-like nonlinear analytic theory and Kalman-Yakubovich-Popov(KYP) lemma, simple linear matrix inequality (LMI) formulations are established to guarantee the stable synchronization between two periodically driven identical deterministic, underdamped ratchets. With this new efficient criterion, the direction of transporting particles can be controlled and the distance among particles also can be fixed on some values in order to separate them. Finally, simulation results verified the applicability and validity of the proposed approach.
KW - Asymptotic stabilization
KW - LMIs
KW - Nonlinear system control
UR - https://www.scopus.com/pages/publications/79961019119
U2 - 10.3182/20080706-5-KR-1001.2066
DO - 10.3182/20080706-5-KR-1001.2066
M3 - Conference contribution
AN - SCOPUS:79961019119
SN - 9783902661005
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
BT - Proceedings of the 17th World Congress, International Federation of Automatic Control, IFAC
T2 - 17th World Congress, International Federation of Automatic Control, IFAC
Y2 - 6 July 2008 through 11 July 2008
ER -