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2014 Quenching Time Optimal Control for Some Ordinary Differential Equations
Ping Lin
J. Appl. Math. 2014: 1-13 (2014). DOI: 10.1155/2014/127809

Abstract

This paper concerns time optimal control problems of three different ordinary differential equations in 2. Corresponding to certain initial data and controls, the solutions of the systems quench at finite time. The goal to control the systems is to minimize the quenching time. The purpose of this study is to obtain the existence and the Pontryagin maximum principle of optimal controls. The methods used in this paper adapt to more general and complex ordinary differential control systems with quenching property. We also wish that our results could be extended to the same issue for parabolic equations.

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Ping Lin. "Quenching Time Optimal Control for Some Ordinary Differential Equations." J. Appl. Math. 2014 1 - 13, 2014. https://doi.org/10.1155/2014/127809

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131331
MathSciNet: MR3198357
Digital Object Identifier: 10.1155/2014/127809

Rights: Copyright © 2014 Hindawi

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