Abstract
In this paper, a new time-dependent discontinuous Lyapunov functional, namely, free-matrix-based time-dependent discontinuous (FMBTDD) Lyapunov functional is introduced for stability analysis of sampled-data systems. First, a modified free-matrix-based integral inequality (MFMBII) is derived based on the existing free-matrix-based integral inequality [1] and it is applied to develop a stability criterion for sampled-data systems. And then, inspired by MFMBII, FMBTDD term is established that leads to efficient stability conditions. Four numerical examples are given to demonstrate the effectiveness of the proposed methods.
| Original language | English |
|---|---|
| Article number | 7858672 |
| Pages (from-to) | 3653-3657 |
| Number of pages | 5 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 62 |
| Issue number | 7 |
| DOIs | |
| State | Published - 2017.07 |
Keywords
- Discontinuous Lyapunov approach
- free-matrix-based integral inequality (FMBII)
- sampled-data systems
- stability
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