Abstract
The idea of free-weighting matrices was extended to a class of stochastic systems with time-varying delays, and the delay-dependent stability of the stochastic systems was studied. By establishing a new Lyapunov function and introducing appropriate free-weighting matrices, a sufficient delay-dependent condition was proposed for the asymptotic stability of such a system. The result was in the form of linear matrix inequalities completely and model transformation was unnecessary. Two examples were given to illustrate the effectiveness of the proposed method.
| Original language | English |
|---|---|
| Pages (from-to) | 516-519 |
| Number of pages | 4 |
| Journal | Beijing Keji Daxue Xuebao/Journal of University of Science and Technology Beijing |
| Volume | 31 |
| Issue number | 4 |
| Publication status | Published - Apr 2009 |
| Externally published | Yes |
Keywords
- Delay-dependent
- Free-weighting matrix
- Linear matrix inequality (LMI)
- Stochastic system