Applied Mathematics and Mechanics (English Edition) ›› 1988, Vol. 9 ›› Issue (7): 681-692.

• Articles • Previous Articles     Next Articles

SINGULAR PERTURBATION SOLUTION OF BOUNDARY-VALUE PROBLEM FOR A SECORD-ORDER DIFFERENTIAL-DIFFERENCE EQUATION

Xu Jun-tao   

  1. East China Normal University, Shanghai
  • Received:1987-04-29 Online:1988-07-18 Published:1988-07-18

Abstract: It this paper, the method of two-variables expansion is used to construct boundary layer terms of asymptotic solution of the boundary-value problem for a second-order DDE. The n-order formal asymptotic solution is obtained and the error is estimated. Thus the existence of uniformly valid asymptotic solution is proved.

Key words: passivity-based synchronization, linear matrix inequality (LMI), chaotic systems, Lyapunov theory

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals