Impulsive synchronization and parameter mismatch of the three-variable autocatalator model Academic Article

abstract

• The synchronization problems of the three-variable autocatalator model via impulsive control approach are investigated; several theorems on the stability of impulsive control systems are also investigated. These theorems are then used to find the conditions under which the three-variable autocatalator model can be asymptotically controlled to the equilibrium point. This Letter derives some sufficient conditions for the stabilization and synchronization of a three-variable autocatalator model via impulsive control with varying impulsive intervals. Furthermore, we address the chaos quasi-synchronization in the presence of single-parameter mismatch. To illustrate the effectiveness of the new scheme, several numerical examples are given. 2006 Elsevier B.V. All rights reserved.

authors

• Huang, Tingwen

published proceedings

• PHYSICS LETTERS A

author list (cited authors)

• Li, Y., Liao, X., Li, C., Huang, T., & Yang, D.

citation count

• 15

complete list of authors

• Li, Yang||Liao, Xiaofeng||Li, Chuandong||Huang, Tingwen||Yang, Degang

publication date

• June 2007

publisher

• Elsevier  Publisher

published in

• Physics Letters, Section A: General, Atomic and Solid State Physics  Journal

keywords

• Chaos
• Impulsive Stabilization
• Impulsive Synchronization
• Parameter Mismatch

Digital Object Identifier (DOI)

• 10.1016/j.physleta.2006.12.073

start page

• 52

end page

• 60

volume

• 366

issue

• 1-2

URL

• http://dx.doi.org/10.1016/j.physleta.2006.12.073