Liu, Bin; Xu, Chengjie; Liu, Dongnan
This paper investigates the input-to-state stability (ISS) issue for discrete-time dynamical networks (DDNs) with time delays. Firstly, a general comparison principle for solutions of DDNs is proposed. Then, based on this general comparison principle, three kinds of ISS-type comparison principles for DDNs are established, including the comparison principle for input-to-state Κβ-stability, ISS, and exponential ISS. The ISS-type comparison principles are then used to investigate stability...[Show more]
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