∞ Performance and stability analysis of linear systems with interval time-varying delays and stochastic parameter uncertainties

M. J. Park; O. M. Kwon; Ju H. Park; S. M. Lee; E. J. Cha

doi:10.1155/2015/821086

∞ Performance and stability analysis of linear systems with interval time-varying delays and stochastic parameter uncertainties

M. J. Park, O. M. Kwon, Ju H. Park, S. M. Lee, E. J. Cha

School of Electronics Engineering

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Abstract

This paper deals with the problems of ∞ performance and stability analysis for linear systems with interval time-varying delays. It is assumed that the parameter uncertainties are of stochastic properties to represent random change of various environments. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative criteria of the concerned systems are introduced with the framework of linear matrix inequalities (LMIs). Four numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.

Original language	English
Article number	821086
Journal	Mathematical Problems in Engineering
Volume	2015
DOIs	https://doi.org/10.1155/2015/821086
State	Published - 23 Feb 2015

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abstract = "This paper deals with the problems of ∞ performance and stability analysis for linear systems with interval time-varying delays. It is assumed that the parameter uncertainties are of stochastic properties to represent random change of various environments. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative criteria of the concerned systems are introduced with the framework of linear matrix inequalities (LMIs). Four numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.",

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AB - This paper deals with the problems of ∞ performance and stability analysis for linear systems with interval time-varying delays. It is assumed that the parameter uncertainties are of stochastic properties to represent random change of various environments. By constructing a newly augmented Lyapunov-Krasovskii functional, less conservative criteria of the concerned systems are introduced with the framework of linear matrix inequalities (LMIs). Four numerical examples are given to show the improvements over the existing ones and the effectiveness of the proposed methods.

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∞ Performance and stability analysis of linear systems with interval time-varying delays and stochastic parameter uncertainties

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