Abstract

This paper is concerned with the problem of robust absolute stability for a class of uncertain Lur'e systems of neutral type. Some delay-dependent stability criteria are obtained and formulated in the form of linear matrix inequalities (LMIs). Neither model transformation nor bounding technique for cross terms is involved through derivation of the stability criteria. A numerical example shows the effectiveness of the criteria

Highlights

  • In 1944, when studying the stability of an autopilot, Lur’e and Postnikov [1] introduced the concept of absolute stability and the Lur’e problem

  • The purpose of this paper is to investigate the robust absolute stability of uncertain Lur’e systems of neutral type

  • Some delay-dependent absolute stability criteria, which will be formulated in the form of linear matrix inequalities (LMIs), will be presented without employing any model transformation and bounding technique for cross terms

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Summary

INTRODUCTION

In 1944, when studying the stability of an autopilot, Lur’e and Postnikov [1] introduced the concept of absolute stability and the Lur’e problem. Due to time-delay occurred in practical systems, the problem of absolute stability for Lur’e systems of retarded type has been studied. For Lur’e systems of neutral type, it is of significance to study the absolute stability since neutral systems can be used to model delay circuits such as the partial element equivalent circuits (PEEC’s) [17] and the distributed networks containing lossless transmission lines [18]. There exist only a few results available in the literature [19] These results are delay-independent, which are conservative. Some delay-dependent absolute stability criteria, which will be formulated in the form of LMIs, will be presented without employing any model transformation and bounding technique for cross terms. There is no obvious way to obtain a much tighter bounding for cross terms

PROBLEM STATEMENT
MAIN RESULTS
A NUMERICAL EXAMPLE
CONCLUSION

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