Time Optimal Control for Some Ordinary Differential Equations with Multiple Solutions

Ping Lin () and Shu Luan ()
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Ping Lin: Northeast Normal University
Shu Luan: Lingnan Normal University

Journal of Optimization Theory and Applications, 2017, vol. 173, issue 1, No 4, 78-90

Abstract: Abstract This paper studies a time optimal control problem for a class of ordinary differential equations. The control systems may have multiple solutions. Based on the properties fulfilled by the solutions of the concerned equations, we get both the existence and the Pontryagin maximum principle for optimal controls.

Keywords: Nonlinear ordinary differential equations; Multiple solution; Time optimal control; 49J15; 34A34 (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s10957-017-1064-9

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