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时变滞后Lurie型系统的改进稳定性准则

RAMAKRISHNAN Krishnan RAY Goshaidas

自动化学报2011,Vol.37Issue(5):639-644,6.
自动化学报2011,Vol.37Issue(5):639-644,6.DOI:10.3724/SP.J.1004.2011.00639

时变滞后Lurie型系统的改进稳定性准则

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

RAMAKRISHNAN Krishnan 1RAY Goshaidas1

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摘要

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.

关键词

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

Key words

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

引用本文复制引用

RAMAKRISHNAN Krishnan,RAY Goshaidas..时变滞后Lurie型系统的改进稳定性准则[J].自动化学报,2011,37(5):639-644,6.

自动化学报

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