Title :
Perturbation theory of boundary value problems and approximate controllability of perturbed boundary control problems
Author :
Hadd, Said ; Zhong, Qing-Chang
Author_Institution :
Dept. of Electr. Eng.&Electron., Univ. of Liverpool, Liverpool, UK
Abstract :
A semigroup approach for the well-posedness of perturbed nonhomogeneous abstract boundary value problems is developed in this paper. This allows us to introduce a useful variation of constant formula for the solutions. Drawing from this formula, necessary and sufficient conditions for the approximate controllability of such systems are obtained, using the feedback theory of well-posed and regular linear systems developed by Salamon, Staffans and Weiss.
Keywords :
boundary-value problems; controllability; feedback; linear systems; perturbation techniques; approximate controllability; feedback theory; necessary conditions; perturbation theory; perturbed boundary control problem; perturbed nonhomogeneous abstract boundary value problem; regular linear systems; semigroup approach; sufficient conditions; well-posed linear systems; well-posedness; Boundary value problems; Control systems; Controllability; Feedback; Linear systems; Open loop systems; Partial differential equations; State-space methods; Sufficient conditions; Thermoelasticity; Boundary value problem; approximate controllability; perturbation theory; regular systems;
Conference_Titel :
Decision and Control, 2008. CDC 2008. 47th IEEE Conference on
Conference_Location :
Cancun
Print_ISBN :
978-1-4244-3123-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2008.4739281
