Abstract
SummaryThis paper is concerned with the robust stability problem for uncertain discrete-time systems with interval time-varying delays and randomly occurring parameter uncertainties. By construction of a suitable Lyapunov-Krasovskii functional and utilization of new zero equalities with delay-partitioning approach, improved delay-dependent criteria for the robust stability of the systems are derived in terms of linear matrix inequalities for guaranteeing the asymptotic stability of the concerned systems. The effectiveness and reduction of conservatism of the derived results are demonstrated by three numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 496-511 |
| Number of pages | 16 |
| Journal | Optimal Control Applications and Methods |
| Volume | 36 |
| Issue number | 4 |
| DOIs | |
| State | Published - 1 Jul 2015 |
Keywords
- discrete-time systems
- interval time-varying delay
- Lyapunov method
- randomly occurring uncertainties
- robust stability