A New Stability Analysis and Stabilization of Discrete-Time Switched Linear Systems Using Vector Norms Approach
| Main Authors: | Marwen Kermani, Anis Sakly, Faouzi M'sahli |
|---|---|
| Format: | Article |
| Bahasa: | eng |
| Terbitan: |
, 2012
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/1061681 |
Daftar Isi:
- In this paper, we aim to investigate a new stability analysis for discrete-time switched linear systems based on the comparison, the overvaluing principle, the application of Borne-Gentina criterion and the Kotelyanski conditions. This stability conditions issued from vector norms correspond to a vector Lyapunov function. In fact, the switched system to be controlled will be represented in the Companion form. A comparison system relative to a regular vector norm is used in order to get the simple arrow form of the state matrix that yields to a suitable use of Borne-Gentina criterion for the establishment of sufficient conditions for global asymptotic stability. This proposed approach could be a constructive solution to the state and static output feedback stabilization problems.