Switching Rule for the Exponential Stability and Stabilization of Switched Linear Systems with Interval Time-varying Delays
| Main Author: | Kreangkri Ratchagit |
|---|---|
| Format: | Article |
| Bahasa: | eng |
| Terbitan: |
, 2011
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/1080187 |
Daftar Isi:
- This paper is concerned with exponential stability and stabilization of switched linear systems with interval time-varying delays. The time delay is any continuous function belonging to a given interval, in which the lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov-Krasovskii functional combined with Leibniz-Newton-s formula, a switching rule for the exponential stability and stabilization of switched linear systems with interval time-varying delays and new delay-dependent sufficient conditions for the exponential stability and stabilization of the systems are first established in terms of LMIs. Numerical examples are included to illustrate the effectiveness of the results.