Instituto de Matemáticas

Oct 7, 2024 | esaim-cocv.org | Czech Academy |Instituto de Matemáticas |Circuito Exterior C.U |Kuntal Bhandari

ESAIM: COCV 30 (2024) 73 Insensitizing control problems for the stabilized Kuramoto–Sivashinsky system 1 and 2* 1 Institute of Mathematics, Czech Academy of Sciences, Žitná 25, 11567 Praha 1, Czech Republic 2 Instituto de Matemáticas, Universidad Nacional Autónoma de México, Circuito Exterior C.U., C.P. 04510 CDMX, Mexico * Corresponding author: [email protected] Received: 27 April 2023 Accepted: 6 August 2024 Abstract In this work, we address the existence of insensitizing...

Aug 27, 2024 | link.springer.com | Instituto de Matemáticas |Universidad de Talca

Abstract We study the approximate controllability of the discrete fractional systems of order \(1<\alpha <2\) $$\begin{aligned} (*)\quad \,_C\nabla ^{\alpha } u^n=Au^n+Bv^n+f(n,u^n), \quad n\ge 2, \end{aligned}$$ subject to the initial states \(u^0=x_0,u^1=x_1,\) where A is a closed linear operator defined in a Hilbert space X, B is a bounded linear operator from a Hilbert space U into \(X, f:{\mathbb {N}}_0\times X\rightarrow X\) is a given sequence and \(\,_C\nabla ^{\alpha } u^n\) is an...