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时变滞后Lurie型系统的改进稳定性准则
引用本文:RAMAKRISHNAN Krishnan, RAY Goshaidas. 时变滞后Lurie型系统的改进稳定性准则. 自动化学报, 2011, 37(5): 639-644. doi: 10.3724/SP.J.1004.2011.00639
作者姓名:RAMAKRISHNAN Krishnan  RAY Goshaidas
作者单位:1.Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, West Bengal 721302, India
摘    要: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.

关 键 词:Lurie systems   absolute stability   robust stability   Lyapunov-Krasovskii functional   linear matrix inequality
收稿时间:2010-10-19
修稿时间:2010-12-27

Improved Stability Criteria for Lurie Type Systems with Time-varying Delay
RAMAKRISHNAN Krishnan, RAY Goshaidas. Improved Stability Criteria for Lurie Type Systems with Time-varying Delay. ACTA AUTOMATICA SINICA, 2011, 37(5): 639-644. doi: 10.3724/SP.J.1004.2011.00639
Authors:RAMAKRISHNAN Krishnan  RAY Goshaidas
Affiliation:1. Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, West Bengal 721302, India
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.
Keywords:Lurie systems  absolute stability  robust stability  Lyapunov-Krasovskii functional  linear matrix inequality
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