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Discrete Dynamics in Nature and Society
Volume 7, Issue 1, Pages 59-68

Stabilizing high-order discrete dynamical systems by a lagged adaptive adjustment mechanism

Nanyang Business School, Nanyang Technological University, Nanyang Avenue, Singapore 659798, Singapore

Received 18 June 2001

Copyright © 2002 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A lagged adaptive adjustment mechanism has been developed to stabilize a high-order discrete system. Theoretical proofs and computer simulations have been provided to show the effectiveness and efficiency of this new mechanism in practice. The mechanism ensures that the adjusted system converges to its generic fixed points and achieves the convergence with a high speed. Besides, it requires neither a priori information about the system itself nor any external generated control signal.