| Title:
|
Controllable systems of partial differential equations (English) |
| Author:
|
Tumajer, František |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1986 |
| Pages:
|
41-53 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper definitions of various kinds of stability and boundedness of solutions of linear controllable systems of partial differential equations are introduced and their interconnections are derived. By means of Ljapunov's functions theorems are proved which give necessary and sufficient conditions for particular kinds of stability and boundedness of the solutions. (English) |
| Keyword:
|
stability |
| Keyword:
|
boundedness |
| Keyword:
|
controllable system of partial differential equations |
| Keyword:
|
Ljapunov's function |
| MSC:
|
35B35 |
| MSC:
|
35B37 |
| MSC:
|
93C05 |
| MSC:
|
93C20 |
| MSC:
|
93D05 |
| idZBL:
|
Zbl 0589.93046 |
| idMR:
|
MR0836801 |
| DOI:
|
10.21136/AM.1986.104183 |
| . |
| Date available:
|
2008-05-20T18:29:15Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104183 |
| . |
| Reference:
|
[1] H. П. Соколов: О функциях от многомерных матриц и примении их к решению линейных систем дифференциальных уравнений с частными производными.УМЖ, т. 22, No. 6, 1970, 769-782. Zbl 1107.83313 |
| Reference:
|
[2] J. Kučera I. Vrkoč: Note on stability of a linear homogeneous control system.Časop. pěst. mat. 95 (1970), 56-61. MR 0277277 |
| Reference:
|
[3] F. Tumajer: Ljapunov's method in the theory of the boundedness of linear control flows.(Czech.) Časop. pěst. mat. 98 (1973), 278-284. MR 0326094 |
| . |
