Delay-dependent stability for systems with fast-varying neutral-type delays via a PTVD compensation

被引：28

作者：

Liu Z.-W. ^{[1
,2
]}

Zhang H.-G. ^{[1
,2
]}

机构：

[1] Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education

[2] College of Information Science and Engineering, Northeastern University

来源：

Zidonghua Xuebao/ Acta Automatica Sinica | 2010年 / 36卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Delay-dependent; Fast-varying neutral-type delay; Linear neutral systems; Polynomials with time-varying delay (PTVD) compensation technique; Stability;

D O I：

10.3724/SP.J.1004.2010.00147

中图分类号：

学科分类号：

摘要：

The stability for a class of linear neutral systems with time-varying delays is studied in this paper, where delay in neutral-type term includes a fast-varying case (i.e., the derivative of delay is more than one), which has never been considered in current literature. The less conservative delaydependent stability criteria for this system are proposed by applying new Lyapunov-Krasovskii functional and novel polynomials with time-varying delay (PTVD) compensation technique. The aim to deal with systems with fast-varying neutral-type delay can be achieved by using the new functional. The benefit brought by applying the PTVD compensation technique is that some useful elements can be included in criteria, which are generally ignored when estimating the upper bound of derivative of Lyapunov-Krasovskii functional. A numerical example is provided to verify the effectiveness of the proposed results. © 2010 Acta Automatica Sinica. All rights reserved.

引用

页码：147 / 152

页数：5

共 28 条

[1]

Kuang Y., Delay Differential Equations with Applications in Population Dynamics, (1993)

[2]

Brayton R.K., Small-signal stability criterion for electrical networks containing lossless transmission lines, IBM Journal of Research and Development, 12, 6, pp. 431-440, (1968)

[3]

Niculescu S.I., Delay Effects on Stability: A Robust Control Approach, (2001)

[4]

Yue D., Han Q.L., A delay-dependent stability criterion of neutral systems and its application to a partial element equivalent circuit model, IEEE Transactions on Circuits and Systems II: Express Briefs, 51, 12, pp. 685-689, (2004)

[5]

Hale J.K., Lunel S.M.V., Introduction to Functional Differential Equations, (1993)

[6]

Fridman E., Shaked U., A descriptor system approach to H<sub>∞</sub> control of linear time-delay systems, IEEE Transactions on Automatic Control, 47, 2, pp. 253-270, (2002)

[7]

Fridman E., Shaked U., Delay-dependent stability and H<sub>∞</sub> control: Constant and time-varying delays, International Journal of Control, 76, 1, pp. 48-60, (2003)

[8]

Han Q.L., On robust stability of neutral systems with time-varying discrete delay and norm-bounded uncertainty, Automatica, 40, 6, pp. 1087-1092, (2004)

[9]

Han Q.L., On stability of linear neutral systems with mixed time delays: A discretized Lyapunov functional approach, Automatica, 41, 7, pp. 1209-1218, (2005)

[10]

He Y., Wu M., She J.H., Liu G.P., Delay-dependent robust stability criteria for uncertain neutral systems with mixed delays, Systems and Control Letters, 51, 1, pp. 57-65, (2004)

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