时变滞后Lurie型系统的改进稳定性准则

RAMAKRISHNAN Krishnan; RAY Goshaidas

doi:10.3724/SP.J.1004.2011.00639

时变滞后Lurie型系统的改进稳定性准则

doi: 10.3724/SP.J.1004.2011.00639

1.
Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, West Bengal 721302, India

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通讯作者:
RAMAKRISHNAN Krishnan

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出版历程
- 收稿日期: 2010-10-19
- 修回日期: 2010-12-27
- 刊出日期: 2011-05-20

Improved Stability Criteria for Lurie Type Systems with Time-varying Delay

1.
Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, West Bengal 721302, India

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Corresponding author: RAMAKRISHNAN Krishnan

摘要

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.
- Lurie systems /
- absolute stability /
- robust stability /
- Lyapunov-Krasovskii functional /
- linear matrix inequality
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.
- Lurie systems /
- absolute stability /
- robust stability /
- Lyapunov-Krasovskii functional /
- linear matrix inequality

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[1]

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