Non Controllability to Rest of the Two-Dimensional Distributed System Governed by the Integrodifferential Equation

2014/08/02 by Romanov Igor, Romanov, Igor, Shamaev Alexey +1
Computer Science · Engineering · Mathematics · #45K05 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1408.0382

openalex publication_date 2014/08/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

The paper deals with controllability problem for a distributed system governed by the two-dimensional Gurtin-Pipkin equation. We consider a system with compactly supported distributed control and show that if the memory kernel is a twice continuously differentiable function, such that its Laplace transformation has at least one non-zero root, then the system cannot be driven to the equilibrium in a finite time.

Citations

• Exact Controllability, Stabilization and Perturbations for Distributed Systems

Related

• Exact Controllability of the Distributed System Governed by the Wave Equation with Memory
• Exact Controllability, Stabilization and Perturbations for Distributed Systems
• Approximate controllability and lack of controllability to zero of the heat equation with memory
• Lack of controllability of thermal systems with memory
• Controllability and feedback stabilizability in a nonuniform framework