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On the convergence of the gradient projection method for convex optimal control problems with bang-bang solutions.
- Source :
- Computational Optimization & Applications; May2018, Vol. 70 Issue 1, p221-238, 18p
- Publication Year :
- 2018
-
Abstract
- We revisit the gradient projection method in the framework of nonlinear optimal control problems with bang-bang solutions. We obtain the strong convergence of the iterative sequence of controls and the corresponding trajectories. Moreover, we establish a convergence rate, depending on a constant appearing in the corresponding switching function and prove that this convergence rate estimate is sharp. Some numerical illustrations are reported confirming the theoretical results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 09266003
- Volume :
- 70
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- Computational Optimization & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 128734037
- Full Text :
- https://doi.org/10.1007/s10589-018-9981-6