Title :
On computing the maximum time-delay bound for stability of linear neutral systems
Author :
Han, Qing-Long ; Yu, Xinghuo ; Gu, Keqin
Author_Institution :
Fac. of Informatics & Commun., Central Queensland Univ., Rockhampton, Qld., Australia
Abstract :
This note is concerned with the stability problem of linear delay-differential systems of neutral type. A discretized Lyapunov functional approach is developed. The resulting stability criterion is formulated in the form of a linear matrix inequality. For nominal systems, the analytical results can be approached with fine discretization. Numerical examples show significant improvement over approaches in the literature.
Keywords :
Lyapunov methods; delay-differential systems; linear matrix inequalities; linear systems; stability; discretized Lyapunov functional approach; linear delay-differential systems; linear matrix inequality; linear neutral system stability; maximum time-delay bound; Australia; Control system synthesis; Delay systems; Linear matrix inequalities; Network synthesis; Stability analysis; Stability criteria; Symmetric matrices; Transmission line matrix methods; Uncertainty;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2004.838479