Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 46, Issue 6, Pages 1350-1362Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2015.2442274
Keywords
Exponential adaptive synchronization; exponential stability; Markov switching; neutral stochastic systems; time-varying delay
Categories
Funding
- Australian Research Council [DP140102180, LP140100471]
- 111 Project [B12018]
- National Natural Science Foundation of China [61365013, 11401292]
- Natural Science Foundation of Jiangxi Province of China [20142BAB201004]
- Foundation of Jiangxi Provincial Educations of China [GJJ14155]
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In this paper, the exponential stability in pth(p > 1)-moment for neutral stochastic Markov systems with time-varying delay is studied. The derived stability conditions comprise two forms: 1) the delay-independent stability criteria which are obtained by establishing an integral inequality and 2) the delay-dependent stability criteria which are captured by using the theory of the functional differential equations. As its applications, the obtained stability results are used to investigate the exponential stability in pth(p > 1)-moment for the neutral stochastic neural networks with time-varying delay and Markov switching, and the globally exponential adaptive synchronization for the neutral stochastic complex dynamical systems with time-varying delay and Markov switching, respectively. On the delay-independent criteria, sufficient conditions are given in terms of M-matrix and thus are easy to check. The delaydependent criteria are presented in the forms of the algebraic inequalities, and the least upper bound of the time-varying delay is also provided. The primary advantages of these obtained results over some recent and similar works are that the differentiability or continuity of the delay function is not required, and that the difficulty stemming from the presence of the neutral item and the Markov switching is overcome. Three numerical examples are provided to examine the effectiveness and potential of the theoretic results obtained.
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