Observer design for discrete-time switched positive systems with time-varying delays

This paper investigates the design problem of exponential positive observer for a class of discrete-time switched positive linear systems with time-varying delay. A sufficient exponential stability criterion is proposed in terms of linear matrix inequalities (LMIs) for the underlying system under average dwell time switching. Then, based on the stability results, sufficient conditions for the existence of exponential positive observers are established. A numerical example is given to show the effectiveness of the proposed results.