Title :
A delay-dependent stability criterion of neutral systems and its application to a partial element equivalent circuit model
Author :
Yue, Dong ; Han, Qing-Long
Abstract :
The real circuit model, such as a partial element equivalent circuit (PEEC), can be represented as a delay differential equation (DDE) of neutral type. The study of asymptotic stability of this kind of systems is of much importance due to the fragility of DDE solvers. Based on a descriptor system approach, new delay-dependent stability results are derived by introducing some free weighting matrices. As an application of the results, the delay-dependent stability problem of a PEEC model is investigated. The comparison of the results with the existing ones is finally given by using the PEEC model and another numerical example.
Keywords :
asymptotic stability; differential equations; equivalent circuits; integrated circuit modelling; matrix algebra; asymptotic stability; delay differential equation; delay-dependent stability criterion; descriptor system approach; free weighting matrices; neutral system; partial element equivalent circuit model; Asymptotic stability; Circuit stability; Circuit testing; Control system synthesis; Delay effects; Delay systems; Differential equations; Equivalent circuits; Informatics; Stability criteria; 65; Neutral systems; PEEC; partial element equivalent circuit; stability; uncertainty;
Journal_Title :
Circuits and Systems II: Express Briefs, IEEE Transactions on
DOI :
10.1109/TCSII.2004.837286
