Abstract
This paper is concerned with the problem of reachable set estimation of discrete-time systems with time-varying delay and bounded disturbance. By applying the improved reciprocally convex combination approach to bound the forward difference of the double summation and triple summation, respectively, a less conservative reachable set estimation condition is developed in matrix inequalities. Based on the criterion, a less conservative stability criterion is obtained as a by-product. Numerical examples are presented to validate the effectiveness of the obtained results.
| Original language | English |
|---|---|
| Pages (from-to) | 1081-1090 |
| Number of pages | 10 |
| Journal | Optimal Control Applications and Methods |
| Volume | 38 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 2017 |
Keywords
- digital control systems
- discrete-time systems
- time delay systems