Robust finite-time boundedness of Hinfin; filtering for switched systems with time-varying delay

For switched system, switching behavior always affects the finite‐time stability property, which was neglected by most previous research. This paper investigates the problem of robust finite‐time boundedness of H∞ filtering for switched systems with time‐varying delay. Sufficient conditions that can ensure finite‐time bounded and H∞ filtering finite‐time stability are derived. Based on the average dwell‐time approach, the closed‐loop system trajectory stays within a prescribed bound. At last, numerical examples are given to illustrate the efficiency of the proposed method.