Please use this identifier to cite or link to this item:
|Title:||Stationary oscillation of an impulsive delayed system and its application to chaotic neural networks|
|Authors:||Sun, J. |
|Citation:||Sun, J., Lin, H. (2008). Stationary oscillation of an impulsive delayed system and its application to chaotic neural networks. Chaos 18 (3) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.2966113|
|Abstract:||This paper investigates the stationary oscillation for an impulsive delayed system which represents a class of nonlinear hybrid systems. First, a new concept of S-stability is introduced for nonlinear impulsive delayed systems. Based on this new concept and fixed point theorem, the relationship between S-stability and stationary oscillation (i.e., existence, uniqueness and global stability of periodic solutions) for the nonlinear impulsive delayed system is explored. It is shown that the nonlinear impulsive delayed system has a stationary oscillation if the system is S-stable. Second, an easily verifiable sufficient condition is then obtained for stationary oscillations of nonautonomous neural networks with both time delays and impulses by using the new criterion. Finally, an illustrative example is given to demonstrate the effectiveness of the proposed method. © 2008 American Institute of Physics.|
|Appears in Collections:||Staff Publications|
Show full item record
Files in This Item:
There are no files associated with this item.
checked on Jul 21, 2018
WEB OF SCIENCETM
checked on Jun 18, 2018
checked on Mar 12, 2018
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.