Abstract
In this paper, the stability of neural networks with multiple time-varying delays is studied. A new class of Lyapunov-Krasovskii functionals is constructed and the S-procedure and free-weighting matrix method are employed to derive a delay-dependent stability criterion, from which a delay-independent criterion is obtained as a special case. Moreover, the result is also extended to delay-dependent and rate-independent stability criteria for multiple unknown time-varying delays. Finally, numerical examples are given to illustrate the effectiveness of our methods and improvement over the existing ones.
| Original language | English |
|---|---|
| Pages (from-to) | 126-136 |
| Number of pages | 11 |
| Journal | Physica D: Nonlinear Phenomena |
| Volume | 212 |
| Issue number | 1-2 |
| DOIs | |
| Publication status | Published - 1 Dec 2005 |
| Externally published | Yes |
Keywords
- Delay-dependent
- Linear matrix inequality (LMI)
- Neural networks
- Stability
- Time-varying delay
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Condensed Matter Physics
- Applied Mathematics