| Title:
|
Finite-time boundedness and stabilization of switched linear systems (English) |
| Author:
|
Du, Haibo |
| Author:
|
Lin, Xiangze |
| Author:
|
Li, Shihua |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
46 |
| Issue:
|
5 |
| Year:
|
2010 |
| Pages:
|
870-889 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, finite-time boundedness and stabilization problems for a class of switched linear systems with time-varying exogenous disturbances are studied. Firstly, the concepts of finite-time stability and finite-time boundedness are extended to switched linear systems. Then, based on matrix inequalities, some sufficient conditions under which the switched linear systems are finite-time bounded and uniformly finite-time bounded are given. Moreover, to solve the finite-time stabilization problem, stabilizing controllers and a class of switching signals are designed. The main results are proven by using the multiple Lyapunov-like functions method, the single Lyapunov-like function method and the common Lyapunov-like function method, respectively. Finally, three examples are employed to verify the efficiency of the proposed methods. (English) |
| Keyword:
|
switched linear systems |
| Keyword:
|
finite-time boundedness |
| Keyword:
|
multiple Lyapunov-like functions |
| Keyword:
|
single Lyapunov-like function |
| Keyword:
|
common Lyapunov-like function |
| MSC:
|
93A14 |
| MSC:
|
93C10 |
| MSC:
|
93D15 |
| MSC:
|
93D21 |
| idZBL:
|
Zbl 1205.93076 |
| idMR:
|
MR2778923 |
| . |
| Date available:
|
2010-12-20T15:41:27Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141397 |
| . |
| Reference:
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