Robust dissipative filtering for continuous-time polytopic uncertain neutral systems

This article is concerned with the problem of robust dissipative filtering for continuous-time polytopic uncertain neutral systems.The main purpose is to obtain a stable and proper linear filter such that the filtering error system is strictly dissipative.A new criterion for the dissipativity of neutral systems is first provided in terms of linear matrix inequalities(LMI).Then,an LMI sufficient condition for the existence of a robust filter is established and a design procedure is proposed for this type of systems.Two numerical examples are given.One illustrates the less conservativeness of the proposed criterion;the other demonstrates the validity of the filtering design procedure.