Design onH∞-filtering for discrete-time switched delay systems

This article is concerned with the delay-dependent H ∞-filtering problem for discrete-time switched systems with a state delay. By using the switched Lyapunov functional method and choosing a new Lyapunov–Krasovskii functional, and, furthermore, utilising the linearisation technique, sufficient conditions on the existence of a desired filter are formulated as strict linear matrix inequalities. Neither model transformation nor the bounding technique for cross-terms is involved. A numerical example is provided to illustrate the effectiveness of the proposed method.