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Lipschitz Stability in Discretized Optimal Control with Application to SQP

Authors :
Marco M. Nicotra
Mikhail Krastanov
Ilya Kolmanovsky
Asen L. Dontchev
Vladimir M. Veliov
Source :
SIAM Journal on Control and Optimization. 57:468-489
Publication Year :
2019
Publisher :
Society for Industrial & Applied Mathematics (SIAM), 2019.

Abstract

We consider a control constrained nonlinear optimal control problem under perturbations represented by a parameter which is a function of time. Our main assumptions involve smoothness of the functi...

Subjects

Subjects :
0209 industrial biotechnology
Control and Optimization
Smoothness (probability theory)
Discretization
Applied Mathematics
010102 general mathematics
Stability (learning theory)
Nonlinear optimal control
02 engineering and technology
Function (mathematics)
Lipschitz continuity
Optimal control
01 natural sciences
020901 industrial engineering & automation
Applied mathematics
0101 mathematics
Sequential quadratic programming
Mathematics

Details

ISSN :
10957138 and 03630129
Volume :
57
Database :
OpenAIRE
Journal :
SIAM Journal on Control and Optimization
Accession number :
edsair.doi...........2d1c8e6d71e114777b46680adc3c38d5
Full Text :
https://doi.org/10.1137/18m1188483
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