title: Observer design and stabilization for linear neutral delay systems.
abstract: This paper focuses on the state observer design problem as well as the observer-based stabilization problem for linear neutral delay systems. The purpose of the former problem is to design an observer that guarantees the asymptotic stability of the estimation error dynamics. The existence condition for such an observer is established. The latter problem, which is the main problem studied in this paper, aims at designing an observer-based feedback controller, such that the closed-loop system is asymptotically stabilized. It is shown that the desired controller can be easily designed if there are solutions to several linear matrix inequalities. Finally, two simulation examples are given to demonstrate the validity and effectiveness of the proposed approach.
authors.affiliation: Department of Mathematics, Bohai University, Liaoning 121003, People's Republic of China. dongshuoch@sina.com
authors.forename: Bing
authors.initials: B
authors.lastname: Chen
authors.forename: James
authors.initials: J
authors.lastname: Lam
authors.forename: Zidong
authors.initials: Z
authors.lastname: Wang