Journal of Applied Sciences ›› 2006, Vol. 24 ›› Issue (6): 604-607.

• Articles • Previous Articles     Next Articles

Backstepping Control of Synchronization for Biomathematical Model of Muscular Blood Vessel

GONG Chong-ying, LI Yi-min, SUN Xi-hao   

  1. Faculty of Science, Jiangsu University, Zhenjiang 212013, China
  • Received:2005-11-15 Revised:2006-06-26 Online:2006-11-30 Published:2006-11-30

Abstract: In this paper, a method of vasospasm synchronization is proposed using a Backstepping technique.Vasospasm is a biomathematical model of muscular vessel arising in diseases such as miocardial infarction.A suitable controller is designed by selecting a series of Lyapunov functions, making synchronization error between the master and slave systems approach an equilibrium point.Global stability and synchronization can be achieved.In theory, a vessel in spasticity would synchronize with the normal vessel.Simulation results are presented to show the effectiveness of the proposed approach.

Key words: synchronization, Backstepping, muscular blood vessel, vasospasm

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