Abstract
Chapter 7 is concerned with the distributed H ∞ filtering problem for a class of polynomial nonlinear stochastic systems in sensor networks. A Lyapunov function candidate whose entries are polynomials is adopted, and then, a sufficient condition for the existence of a feasible solution to the addressed distributed H ∞ filtering problem is derived in terms of parameter-dependent linear matrix inequalities (PDLMIs). For computational convenience, these PDLMIs are further converted into a set of sums of squares that can be solved effectively by using the semidefinite programming technique.
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