Solution to Singular Optimal Control by Canonical Backward Differential Equation

doi:10.3969/j.issn.0253-374x.2013.11.024

Home > Archive>Volume 41, Issue 11, 2013 >1751-1754. DOI:10.3969/j.issn.0253-374x.2013.11.024

Solution to Singular Optimal Control by Canonical Backward Differential Equation
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                        10.3969/j.issn.0253-374x.2013.11.024
                    
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                        LIU GuohuaLIU Guohua
Department of Mathematics, Tongji University, Shanghai 200092, China；College of Science, University of Shanghai for Science and Technology, Shanghai 200093, China
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ZHU JinghaoZHU Jinghao
Department of Mathematics, Tongji University, Shanghai 200092, China
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Abstract:

A singular optimal control problem is solved by Krotov Extension method and Canonical backward differential flows. By using Krotov equivalent transformation, the cost functional of the problem is converted to a class of global optimization problems which are solved by a class of backward differential equations with initial values relying on the time point continuously.

Key words:singular optimal control; global optimization; backward differential flow

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LIU Guohua, ZHU Jinghao. Solution to Singular Optimal Control by Canonical Backward Differential Equation[J].同济大学学报(自然科学版),2013,41(11):1751~1754

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Received:October 26,2012
Revised:June 26,2013
Adopted:February 07,2013
Online: October 28,2013
Published:

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