Title :
Well-posedness of boundary feedback systems with unbounded feedback operator
Author :
Zhan-Dong Mei ; Ji-Gen Peng
Author_Institution :
Sch. of Math. & Stat., Xi´an Jiaotong Univ., Xi´an, China
Abstract :
In this paper, it is proved that under some regular conditions, abstract boundary feedback systems with unbounded feedback operator are well-posed. The proof is based on the authors´ recent paper [Z.D. Mei, J.G. Peng, Proceedings of the American Mathematical Society, 138 (2010), 4455-4468]. As an application, the Euler-Bernoulli plate with partial boundary Neumann feedback operator in the dynamic boundary is studied.
Keywords :
distributed parameter systems; feedback; Euler-Bernoulli plate; abstract boundary feedback systems; dynamic boundary; partial boundary Neumann feedback operator; unbounded feedback operator; well-posedness; Abstracts; Aerospace electronics; Control systems; Equations; Generators; Linear systems; Nickel; Boundary feedback; admissibility; regular linear systems; well-posedness;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6897066