Abstract A novel La Shalle's invariant set theory (LSIST) based adaptive asymptotic synchronization (LSISAAS) method is proposed to asymptotically synchronize Duffing system with unknown parameters which also are considered as system states. The LSISASS strategy depends on the only information, i.e. one state of the master system. According to the LSIST, the LSISASS method can asymptotically synchronize fully the states of the master system and the unknown system parameters as well. Simulation results also validate that the LSISAAS approach can obtain asymptotic synchronization.
Received: 10 May 2005
Revised: 23 June 2005
Accepted manuscript online:
Yu Dong-Chuan (禹东川), Wu Ai-Guo (吴爱国) La Shalle's invariant-set-theory based asymptotic synchronization of duffing system with unknown parameters 2006 Chinese Physics 15 95
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