UID:
almahu_9949462263402882
Format:
1 online resource (175 p.)
Edition:
Reprint 2011
ISBN:
9783110915532
,
9783110238570
Series Statement:
Inverse and Ill-Posed Problems Series , 45
Content:
This monograph deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other situations. A formal application of classical optimisation methods in such cases either leads to wrong results or has no effect. The detailed analysis of these examples should provide a better understanding of the modern theory of optimal control and the practical difficulties of solving extremum problems.
Note:
I-IV --
,
Contents --
,
Preface --
,
Introduction --
,
Example 1. Insufficiency of the optimality conditions --
,
Example 2. The singular control --
,
Example 3. Nonexistence of optimal controls --
,
Example 4. Nonexistence of optimal controls (Part 2) --
,
Example 5. Ill-posedness in the sense of Tikhonov --
,
Example 6. Ill-posedness in the sense of Hadamard --
,
Example 7. Insufficiency of the optimality conditions (Part 2) --
,
Example 8. The Chafee-Infante problem --
,
Comments --
,
Conclusion --
,
Bibliography
,
Issued also in print.
,
Mode of access: Internet via World Wide Web.
,
In English.
In:
DGBA Backlist Complete English Language 2000-2014 PART1, De Gruyter, 9783110238570
In:
DGBA Backlist Mathematics 2000-2014 (EN), De Gruyter, 9783110238471
In:
DGBA Mathematics - 2000 - 2014, De Gruyter, 9783110637205
Additional Edition:
ISBN 9789067644006
Language:
English
DOI:
10.1515/9783110915532
URL:
https://doi.org/10.1515/9783110915532
URL:
https://www.degruyter.com/isbn/9783110915532
