A Novel Approach to Stability of Interval Delayed Systems with Nonlinear Perturbations

作者：An, Jiyao^*; Luo, Chaowu

来源：Control Engineering and Applied Informatics, 2016, 18(4): 3-13.

• Interval time-varying delay
• Nonlinear perturbations
• Lyapunov-Krasovskii (LK) functional
• Linear matrix inequality (LMI)
• Maximum allowable delay bound (MADB)

This paper focuses on the stability problem for a class of linear systems with interval time varying delays and nonlinear perturbations. By developing a delay decomposition approach, the information of the delayed plant states can be taken into full consideration in a new Lyapunov-Krasovskii (LK) functional, and a delay-fractional-dependent sufficient stability criterion is obtained in terms of linear matrix inequalities without involving any direct approximation in the time-derivative of the LK functional. The merits of the proposed results lie in their less conservatism, which are realized by choosing different Lyapunov matrices in the decomposed integral intervals and utilizing some suitable integral inequalities to estimate some tighter upper bounds in some cross terms more exactly. This development leads to a less conservative LMI criterion as seen through numerical examples.

• 出版日期2016-12
• 单位湖南大学