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Filtering for a class of nonlinear discrete-time stochastic systems with state delays. (English) Zbl 1152.93053
For a class of nonlinear discrete time stochastic systems with state delays, the filtering problem is investigated. The researchers developed an algebraic matrix inequality approach to deal with the filter analysis problem, then, they derived a sufficient condition for the existence of the desired filters. The filter design problem is tackled based on the generalized inverse theory. An empirical example is provided to demonstrate the importance of the proposed design method.

##### MSC:
 93E11 Filtering in stochastic control theory 93C55 Discrete-time control/observation systems 93C10 Nonlinear systems in control theory 93E03 Stochastic systems in control theory (general) 15A45 Miscellaneous inequalities involving matrices 15A29 Inverse problems in linear algebra
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