Extended dissipativity analysis of digital filters with time delay and Markovian jumping parameters

This paper considers the problem of extended dissipativity analysis for digital filters, which simultaneously contain time delay and Markovian jumping parameters. First, we put forward a very general form of nonlinearity functions, which can cover the existing nonlinearity functions as special cases. Second, by employing the generalized reciprocally convex combination inequality approach, a sufficient condition is proposed, under which the underlying system is stochastically stable and satisfies the extended dissipativity. Finally, numerical examples are provided to illustrate the advantages and effectiveness of the proposed scheme in this paper.