期刊
INTERNATIONAL JOURNAL OF AUTOMATION AND COMPUTING
卷 4, 期 3, 页码 304-314出版社
SPRINGER HEIDELBERG
DOI: 10.1007/s11633-007-0304-0
关键词
Delay-dependent criteria; robust stability; switched systems; Hopfield neural networks; time-varying delay; linear matrix inequality
资金
- National Natural Science Foundation of China [60674026]
- Key Research Foundation of Science and Technology of the Ministry of Education of China [107058]
This paper deals with the problem of delay-dependent robust stability for a class of switched Hopfield neural networks with time-varying structured uncertainties and time-varying delay. Some Lyapunov-Krasovskii functionals are constructed and the linear matrix inequality (LMI) approach and free weighting matrix method are employed to devise some delay-dependent stability criteria which guarantee the existence, uniqueness and global exponential stability of the equilibrium point for all admissible parametric uncertainties. By using Leibniz-Newton formula, free weighting matrices are employed to express this relationship, which implies that the new criteria are less conservative than existing ones. Some examples suggest that the proposed criteria are effective and are an improvement over previous ones.
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