Controllability properties for the one-dimensional Heat equation under multiplicative or nonnegative additive controls with local mobile support

2011/02/18 by Luis A. Fernández, Fernandez, Luis A., Alexander Y. Khapalov +1
Computer Science · Engineering · Mathematics · #35K05 #35K20 #93B05 #Advanced Mathematical Modeling in Engineering #FOS: Electrical engineering #FOS: Mathematics #Numerical methods for differential equations #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations #Systems and Control (eess.SY) #electronic engineering #information engineering

paper · pdf · doi:10.48550/arxiv.1102.3867

openalex publication_date 2011/02/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss several new results on nonnegative approximate controllability for the one-dimensional Heat equation governed by either multiplicative or nonnegative additive control, acting within a proper subset of the space domain at every moment of time. Our methods allow us to link these two types of controls to some extend. The main results include approximate controllability properties both for the static and mobile control supports.

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