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On Improved delay-dependent Robust Stability Criteria for Uncertain Systems with Interval Time-varying delay

International Journal of Automation and computing 2015年第1期12卷 102-108页

作者： Jun-Jun Hui He-Xin Zhang Xiang-Yu Kong Xin Zhou The Xi'an Research Institute of High Technology The Baoji Research Institute of High Technology

This paper considers the problem of delay-dependent robust stability for uncertain systems with interval time-varying delays. By using the direct Lyapunov method, a new Lyapunov-Krasovskii(L-K) functional is introduced based on decomposition approach, when dealing with the time derivative of L-K functional, a new tight integral inequality is adopted for bounding the cross terms. Then, a new less conservative delay-dependent stability criterion is formulated in terms of linear matrix inequalities(LMIs),which can be easily solved by optimization algorithms. Numerical examples are given to show the effectiveness and the benefits of the proposed method.

关键词： Lyapunov-Krasovskii(L-K) functional delay decomposition approach linear matrix inequality(LMI) interval timevarying delay robust stability

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Improved robust stability criteria for Networked Control Systems

Improved robust stability criteria for Networked Control Sys...

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2010 Chinese Control and Decision Conference

作者： Xiaohua Ge~1,Xiefu Jiang~2 1.School of Automation,Hangzhou Dianzi University,Hangzhou,China,310018 2.The Research Institute of Automation,Hangzhou Dianzi University,Hangzhou,China,310018

＜正＞In this paper,we concern with robust stability of networked control systems（NCSs） by taking the effects of both the time-varying network-induced delay and data packet dropout into consideration.A new delay decomposition approach to time-varying delay is proposed and an appropriate Lyapunov-Krasovskii functional is constructed to derive some less conservative stability *** slack matrix variable is introduced and overly bounding for some term is ***,two numerical examples are given to show the effectiveness of the proposed results.

关键词： Networked Control System(NCS) Network-induced delay Data packet dropout delay decomposition approach Linear matrix inequality(LMI)

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Improved delay-Dependent Stability Criterion and Controller Design For Stochastic Systems With Time delays

Improved Delay-Dependent Stability Criterion and Controller ...

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第二十九届中国控制会议

作者： ZHOU Lei,ZHOU Shaosheng Department of Automation,Hangzhou Dianzi University,Hangzhou Zhejiang 310018,P.R.China

This paper investigates the stability and stabilization problems of stochastic systems with time *** using a delay decomposition approach,a novel Lyapunov-Krasovskii functional is *** with the Itö formula and some tighter bounding technologies,a new delay-dependent stability criterion for linear delayed stochastic systems is derived in terms of linear matrix *** the obtained result,a state feedback controller is constructed to ensure the stability in mean square of the corresponding closed-loop system.A numerical example is given to verify the effectiveness of the design method.

关键词： Stochastic system Time delays delay decomposition approach

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New Results on Robust H∞ Control for Singular Time-delay Systems

New Results on Robust H∞ Control for Singular Time-delay Sy...

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第三十届中国控制会议

作者： WANG Hui-Jiao~1,PAN Hai-Peng~1,XUE An-Ke~2 1.Institute of Automation,Zhejiang Sci-Tech University,Hangzhou 310018,P.R.China 2.Institute of Information & Control,Hangzhou Dianzi University,Hangzhou 310018,P.R.China

This paper concerns the problem of delay-dependent robust H control for uncertain singular time-delay systems. Based on delay decomposition approach,a state-feedback controller,which guarantees that,for all admissible uncertainties, the resultant closed-loop system is regular,impulse free,and stable with disturbance attenuation level *** idea of delay decomposition approach is that employing new Lyapunov-krasovskii functionals,which decomposed the whole delay interval into multiple subintervals and defines a different energy function on each *** numerical examples are given to show the effectiveness and less conservatism of the proposed method.

关键词： Singular Systems Time-delay H∞Control delay-dependent delay decomposition approach

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