Necessary conditions of exponential stability for a class of linear neutral-type time-delay systems

作者：Zhang, Xian^*; Zhao, Ning; Shi, Peng

来源：International Journal of Control, 2019, 92(6): 1289-1297.

DOI：10.1080/00207179.2017.1390259

• Exponential stability
• neutral-type time-delay systems
• complete-type Lyapunov-Krasovskii functional

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 a medium step, the relations between the Lyapunov matrix and the fundamental matrix are characterised. The validation of the obtained results is explained by numerical examples and comparison with some existing results.

• 出版日期2019-6-3
• 单位黑龙江大学