Admissibility and dissipativity analysis for discrete-time singular systems with mixed time-varying delays

The problems of admissibility and dissipativity are studied for discrete‐time singular systems with mixed time‐varying delays. The mixed time delays consist of both discrete and distributed delays. By taking advantage of the delay partitioning technique, a criterion that warrants the admissibility of the considered systems is established. Based on the criterion, a dissipativity condition is also given. All the results presented depend upon not only discrete delay and distributed delay, but also depend upon the number of delay partitions. Some numerical examples are included to demonstrate the improvement and effectiveness of the proposed methods.