期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 13, 期 5, 页码 2423-2431出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2012.02.009
关键词
Neural networks; Markov jump systems; Time delays; Piecewise-constant transition rates; Passivity
资金
- National Research Foundation of Korea (NRF)
- Ministry of Education, Science and Technology [2010-0009373]
- National Creative Research Groups Science Foundation of China [60721062]
- National High Technology Research and Development Program of China 863 Program [2006AA04 Z182]
- National Natural Science Foundation of China [60736021, 61174029]
In this paper, passivity analysis is considered for Markov jump neural networks with both mixed time-delays and time-varying transition rates. The mixed time-delays consist of both discrete and distributed delays. The time-varying character of transition rates is assumed to be piecewise-constant. By use of the linear matrix inequality (LMI) method and a Lyapunov functional that accounts for the mixed time-delays, a delay-dependent passivity condition is derived, which can be easily checked. The result presented depends upon not only discrete delay but also distributed delay. A numerical example is proposed to show the effectiveness of the proposed method. (C) 2012 Elsevier Ltd. All rights reserved.
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