Time-varying Bang-bang Property of Minimal Controls for Approximately Null-controllable Heat Equations

2017/03/02 by Ning Chen, Chen, Ning, Yan Qing Wang +3
Computer Science · Engineering · Mathematics · #35K05 #49J20 #Advanced Mathematical Modeling in Engineering #FOS: Mathematics #Numerical methods in inverse problems #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1703.00658

openalex publication_date 2017/03/02 · openalex created_date 2017/03/16 · openalex updated_date 2026/07/28

Abstract

In this paper, optimal time control problems and optimal target control problems are studied for the approximately null-controllable heat equations. Compared with the existed results on these problems, the boundary of control variables are not constants but time varying functions. The time-varying bang-bang property for optimal time control problem, and an equivalence theorem for optimal control problem and optimal target problem are obtained.

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