Stability and Stabilization of Impulsive Stochastic Delay Difference Equations
When an impulsive control is adopted for a stochastic delay difference system (SDDS), there are at least two situations that should be contemplated. If the SDDS is stable, then what kind of impulse can the original system tolerate to keep stable? If the SDDS is unstable, then what kind of impulsive...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/592036 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | When an impulsive control is adopted for a stochastic delay difference
system (SDDS), there are at least two situations that should be contemplated. If the
SDDS is stable, then what kind of impulse can the original system tolerate to keep
stable? If the SDDS is unstable, then what kind of impulsive strategy should be taken
to make the system stable? Using the Lyapunov-Razumikhin technique, we
establish criteria for the stability of impulsive stochastic delay difference equations
and these criteria answer those questions. As for applications, we consider a kind of
impulsive stochastic delay difference equation and present some corollaries to our
main results. |
|---|---|
| ISSN: | 1026-0226 1607-887X |