Time Optimal Controls of Semilinear Heat Equation with Switching Control

Lijuan Wang () and Qishu Yan ()
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Lijuan Wang: Wuhan University
Qishu Yan: Wuhan University

Journal of Optimization Theory and Applications, 2015, vol. 165, issue 1, No 13, 263-278

Abstract: Abstract This paper is concerned with the bang-bang property of time optimal controls, governed by a semilinear heat equation in a bounded domain with switching controls acting locally into two open subsets. The proofs rely on an observability estimate from a positive measurable set in time for the linear heat equation, and a Kakutani fixed point argument.

Keywords: Time optimal control; Bang-bang property; Semilinear heat equation; Observability estimate from measurable sets; Switching control; 35K58; 49J20; 49J30; 93B07 (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s10957-014-0606-7

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