Delay-dependent stability and stabilization of neutral time-delay systems

Authors

  • Jian Sun,

    Corresponding author
    1. School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081, China
    2. Faculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, U.K.
    • School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081, China
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  • G. P. Liu,

    1. Faculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, U.K.
    2. Key Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing 100080, China
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  • Jie Chen

    1. School of Information Science and Technology, Beijing Institute of Technology, Beijing 100081, China
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Abstract

This paper is concerned with the problem of stability and stabilization of neutral time-delay systems. A new delay-dependent stability condition is derived in terms of linear matrix inequality by constructing a new Lyapunov functional and using some integral inequalities without introducing any free-weighting matrices. On the basis of the obtained stability condition, a stabilizing method is also proposed. Using an iterative algorithm, the state feedback controller can be obtained. Numerical examples illustrate that the proposed methods are effective and lead to less conservative results. Copyright © 2008 John Wiley & Sons, Ltd.

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