2016/08/24 by Duy Phan, Sérgio S. Rodrigues
Computer Science · Engineering · Mathematics · #Actuator #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Applied mathematics #Boundary (topology) #Bounded function #Computer science #Control (management) #Control theory (sociology) #Controller (irrigation) #Domain (mathematical analysis) #Feedback linearization #Linearization #Mathematical analysis #Mathematics #Nonlinear system #Parabolic partial differential equation #Partial differential equation #Physics #Riccati equation #Stability and Controllability of Differential Equations #math.OC #msc:35K58 #msc:93B52 #msc:93D15
paper · pdf · doi:10.1007/s00498-018-0218-0
published as Mathematics of Control, Signals, and Systems, June 2018 · 61 pages, 23 figures
arxiv created 2016/08/24 · openalex publication_date 2018/06/01 · arxiv updated 2018/07/20 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
The feedback exponential stabilization to trajectories for semilinear parabolic equations in a given bounded domain is addressed. The controls take values in a finite-dimensional space and are supported in a small region. Both internal and boundary controls are considered.