The Bang–Bang Property of Time-Varying Optimal Time Control for Null Controllable Heat Equation

Dong-Hui Yang (), Bao-Zhu Guo (), Weihua Gui () and Chunhua Yang ()
Additional contact information
Dong-Hui Yang: Central South University
Bao-Zhu Guo: North China Electric Power University
Weihua Gui: Central South University
Chunhua Yang: Central South University

Journal of Optimization Theory and Applications, 2019, vol. 182, issue 2, No 8, 588-605

Abstract: Abstract In this paper, we consider bang–bang property for a kind of time-varying time optimal control problem of null controllable heat equation. The study is a continuation of a recent work (Chen et al. in Syst Control Lett 112:18–23, 2018), where an approximate null controllable heat equation was considered. We first establish the equivalence between optimal norm control and optimal time control and then prove the existence of the optimal norm control and of the optimal time control. The time-varying bang–bang property for the optimal time control is finally established.

Keywords: Heat equation; Bang–bang property; Optimal time control; Optimal norm control; 35K05; 49J20 (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://link.springer.com/10.1007/s10957-019-01510-1 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:joptap:v:182:y:2019:i:2:d:10.1007_s10957-019-01510-1

Ordering information: This journal article can be ordered from
http://www.springer. ... cs/journal/10957/PS2

DOI: 10.1007/s10957-019-01510-1

Access Statistics for this article

Journal of Optimization Theory and Applications is currently edited by Franco Giannessi and David G. Hull

More articles in Journal of Optimization Theory and Applications from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().