Controllability and lack of controllability with smooth controls in\n viscoelasticity via moment methods

2017/09/13 by Luciano Pandolfi, Pandolfi, Luciano
Engineering · Mathematics · #45K05 #93B03 #93B05 #93C22 #Advanced Mathematical Physics Problems #FOS: Mathematics #Numerical methods for differential equations #Optimization and Control (math.OC) #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1709.04414

openalex publication_date 2017/09/13 · openalex created_date 2022/10/05 · openalex updated_date 2026/07/28

Abstract

In this paper we study controllability of a linear equation with persistent\nmemory when the control belongs to H^k₀(0,T;L²( ZOMq)) . In the case the\nmemory is zero, our equation is reduced to the wave equation and a result due\nto Everdoza and Zuazua informally states that smoother targets can be reached\nby using smoother controls. In this paper we prove that this result can be\npartially extended to systems with memory, but that the memory is an\nobstruction to a complete extensions.\n

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