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OALib Journal期刊
ISSN: 2333-9721
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Improved Stability Criteria for Lurie Type Systems with Time-varying Delay
时变滞后Lurie型系统的改进稳定性准则

Keywords: Lurie systems,absolute stability,robust stability,Lyapunov-Krasovskii functional,linear matrix inequality
Lurie
,systems,absolute,stability,robust,stability,Lyapunov-Krasovskii,functional,linear,matrix,inequality

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Abstract:

In this technical note, we present a new stability analysis procedure for ascertaining the delay-dependent stability of a class of Lurie systems with time-varying delay and sector-bounded nonlinearity using Lyapunov-Krasovskii (LK) functional approach. The proposed analysis, owing to the candidate LK functional and tighter bounding of its time-derivative, yields less conservative absolute and robust stability criteria for nominal and uncertain systems respectively. The effectiveness of the proposed criteria over some of the recently reported results is demonstrated using a numerical example.

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