| Title:
|
New qualitative methods for stability of delay systems (English) |
| Author:
|
Verriest, Erik I. |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
37 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
[229]-238 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
A qualitative method is explored for analyzing the stability of systems. The approach is a generalization of the celebrated Lyapunov method. Whereas classically, the Lyapunov method is based on the simple comparison theorem, deriving suitable candidate Lyapunov functions remains mostly an art. As a result, in the realm of delay equations, such Lyapunov methods can be quite conservative. The generalization is here in using the comparison theorem directly with a different scalar equation with known qualitative behavior. It leads to criteria for stability of general difference and delay differential equations. (English) |
| Keyword:
|
stability of systems |
| Keyword:
|
delay system |
| Keyword:
|
Lyapunov method |
| MSC:
|
34K20 |
| MSC:
|
93C23 |
| MSC:
|
93D05 |
| MSC:
|
93D30 |
| idZBL:
|
Zbl 1265.93191 |
| idMR:
|
MR1859082 |
| . |
| Date available:
|
2009-09-24T19:39:02Z |
| Last updated:
|
2015-03-26 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/135405 |
| . |
| Reference:
|
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