| Issue |
ESAIM: COCV
Volume 21, Number 3, July-September 2015
|
|
|---|---|---|
| Page(s) | 815 - 834 | |
| DOI | https://doi.org/10.1051/cocv/2014051 | |
| Published online | 20 May 2015 | |
Optimal blowup time for controlled ordinary differential equations∗
School of Mathematical Sciences, Fudan
University, Shanghai
200433, P.R.
China
hwlou@fudan.edu.cn ; 11210180039@fudan.edu.cn
Received:
23
May
2014
Revised:
8
September
2014
In this work, we study both minimal and maximal blowup time controls for some ordinary differential equations. The existence and Pontryagin’s maximum principle for these problems are derived. As a key preliminary to prove our main results, due to certain monotonicity of the controlled systems, “the initial period optimality” for an optimal triplet is built up. This property reduces our blowup time optimal control problems (where the target set is outside of the state space) to the classical ones (where the target sets are in state spaces).
Mathematics Subject Classification: 49J15 / 34A34
Key words: Optimal blowup time / initial period optimality / existence / maximum principle
© EDP Sciences, SMAI, 2015
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