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Published in:
2011 | OriginalPaper | Chapter
3. Optimal control of ordinary differential systems. Gradient methods
Authors : Sebastian Aniţa, Viorel Arnăutu, Vincenzo Capasso
Published in: An Introduction to Optimal Control Problems in Life Sciences and Economics
Publisher: Birkhäuser Boston
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Abstract
This chapter is devoted to approximation methods, mainly of gradient type, for optimal control problems governed by ordinary differential equations. The main goal is to build corresponding MATLAB{ $Ⓡ$} programs. The calculation of the gradient of the cost functional allows us to develop gradient-type algorithms. We deal with minimization/maximization problems. As we show, the general principle of a gradient method is the same for both types of problems.