| Title:
|
Dependence on the parameters of the set of trajectories of the control system described by a nonlinear Volterra integral equation (English) |
| Author:
|
Huseyin, Anar |
| Author:
|
Huseyin, Nesir |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
59 |
| Issue:
|
3 |
| Year:
|
2014 |
| Pages:
|
303-317 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the control system with limited control resources is studied, where the behavior of the system is described by a nonlinear Volterra integral equation. The admissible control functions are chosen from the closed ball centered at the origin with radius $\mu $ in $L_p$ $(p>1)$. It is proved that the set of trajectories generated by all admissible control functions is Lipschitz continuous with respect to $\mu $ for each fixed $p$, and is continuous with respect to $p$ for each fixed $\mu $. An upper estimate for the diameter of the set of trajectories is given. (English) |
| Keyword:
|
nonlinear Volterra integral equation |
| Keyword:
|
control system |
| Keyword:
|
integral constraint |
| MSC:
|
45D05 |
| MSC:
|
93B03 |
| MSC:
|
93C23 |
| idZBL:
|
Zbl 06362228 |
| idMR:
|
MR3232632 |
| DOI:
|
10.1007/s10492-014-0056-4 |
| . |
| Date available:
|
2014-05-20T07:36:15Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143774 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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