Stability and H∞ performance analysis of switched stochastic neutral systems

Guoxin Chen; Zhengrong Xiang; Magdi S. Mahmoud

doi:10.1007/s00034-012-9459-1

Stability and H_∞ performance analysis of switched stochastic neutral systems

Guoxin Chen, Zhengrong Xiang^*, Magdi S. Mahmoud

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

This paper is concerned with the problems of stability and H _∞ performance for a class of switched stochastic neutral delay systems. By applying the average dwell time method, sufficient condition is first derived to guarantee the mean-square exponential stability of the switched stochastic neutral system. Then, the condition on a weighted H _∞ performance is proposed. The corresponding results are all formulated in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

Original language	English
Pages (from-to)	387-400
Number of pages	14
Journal	Circuits, Systems, and Signal Processing
Volume	32
Issue number	1
DOIs	https://doi.org/10.1007/s00034-012-9459-1
State	Published - Feb 2013

Keywords

Average dwell time
H performance
Neutral systems
Switched stochastic systems
Time delay

ASJC Scopus subject areas

Signal Processing
Applied Mathematics

Access to Document

10.1007/s00034-012-9459-1

Cite this

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abstract = "This paper is concerned with the problems of stability and H ∞ performance for a class of switched stochastic neutral delay systems. By applying the average dwell time method, sufficient condition is first derived to guarantee the mean-square exponential stability of the switched stochastic neutral system. Then, the condition on a weighted H ∞ performance is proposed. The corresponding results are all formulated in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.",

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AB - This paper is concerned with the problems of stability and H ∞ performance for a class of switched stochastic neutral delay systems. By applying the average dwell time method, sufficient condition is first derived to guarantee the mean-square exponential stability of the switched stochastic neutral system. Then, the condition on a weighted H ∞ performance is proposed. The corresponding results are all formulated in terms of linear matrix inequalities (LMIs). Finally, a numerical example is provided to illustrate the effectiveness of the proposed approach.

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