p-Moment exponential robust stability of grey neutral stochastic delay systems

Chunhua Su

doi:10.1108/20439371111106740

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Grey Systems: Theory and Application

ISSN: 2043-9377

Online from: 2011

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p-Moment exponential robust stability of grey neutral stochastic delay systems

Document Information:
Title:	p-Moment exponential robust stability of grey neutral stochastic delay systems
Author(s):	Chunhua Su, (College of Mathematics and Information Science, Xinyang Normal University, Xinyang City, People's Republic of China)
Citation:	Chunhua Su, (2011) "p-Moment exponential robust stability of grey neutral stochastic delay systems", Grey Systems: Theory and Application, Vol. 1 Iss: 1, pp.72 - 86
Keywords:	Stability (control theory), Stochastic processes, Systems theory
Article type:	Research paper
DOI:	10.1108/20439371111106740 (Permanent URL)
Publisher:	Emerald Group Publishing Limited
Acknowledgements:	The author thanks the referees for their valuable and helpful comments and suggestions which have improved the presentation and quality of the paper. The work was supported by the Natural Science Foundation of Henan Province of China (No. 102300410243).
Abstract:	Purpose – The purpose of this paper is to obtain the criteria of p-moment exponential robust stability for a class of grey neutral stochastic delay systems. Design/methodology/approach – By constructing a Lyapunov-Krasovskii functional and employing the decomposition technique of continuous matrix-covered sets of grey matrix and using three key inequalities, the paper investigates the p-moment exponential robust stability for a class of grey neutral stochastic delay systems. A numeric example is given to demonstrate the effectiveness of the criteria presented in the paper. Findings – The results not only can be used to judge the p-moment exponential robust stability of the systems researched in the paper, but also can be applied in the stability analysis of grey non-neutral stochastic systems. Practical implications – The method exposed in the paper can be used in the analysis and designation of practical stochastic control systems. Originality/value – The paper succeeds in obtaining the criteria of p-moment exponential robust stability for grey neutral stochastic delay systems by constructing a Lyapunov-Krasovskii functional and employing the decomposition technique of continuous matrix-covered sets of grey matrix and using three key inequalities.