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New delay‐dependent H ∞ exponential stability for neutral Markovian jump systems with mixed delays and nonlinear perturbations
Author(s) -
Ma Yuechao,
Zhang Jingsha
Publication year - 2017
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/oca.2317
Subject(s) - exponential stability , nonlinear system , mathematics , control theory (sociology) , stability (learning theory) , upper and lower bounds , jump , exponential function , linear matrix inequality , computer science , mathematical analysis , mathematical optimization , physics , control (management) , quantum mechanics , artificial intelligence , machine learning
Summary This paper deals with the problem of delay‐dependent H ∞ exponential stability for neutral Markovian jump systems with mixed delays and nonlinear perturbations. Based on Lyapunov stability theory and linear matrix inequality method, some new H ∞ exponential stability criteria are presented. The difference between this paper and other existing results is that the lower bounds of the neutral delay, the upper bounds of the neutral delay and discrete delay are considered, which will obtain some less conservative stability analysis results. Numerical examples are given to show that the proposed criteria improve the existing results.