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|Title:||Necessary conditions of exponential stability for a class of linear neutral-type time-delay systems|
|Citation:||International Journal of Control, 2019; 92(6):1289-1297|
|Publisher:||Taylor & Francis|
|Xian Zhang, Ning Zhao and Peng Shi|
|Abstract:||For a class of linear neutral-type time-delay systems (NTTDSs), this paper will present necessary exponential stability conditions by employing the Lyapunov–Krasovskii functional approach. Since these conditions are represented by the Lyapunov matrix and the neutral coefficient matrix, they not only offer a novel tool for analysing stability of linear NTTDSs by characterising instability domains, but also extend the existing results of the neutral-delay-free systems. As amedium step, the relations between the Lyapunovmatrix and the fundamental matrix are characterised. The validation of the obtained results is explained by numerical examples and comparison with some existing results.|
|Keywords:||Exponential stability; neutral-type time-delay systems; complete-type Lyapunov–Krasovskii functional|
|Rights:||© 2017 Informa UK Limited, trading as Taylor & Francis Group|
|Appears in Collections:||Electrical and Electronic Engineering publications|
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