%0 Electronic Article %A Hui Wang %A Huiling Xu %A Xuefeng Chen %A Dan Zhang %K delay-free reduced-order system %K model reduction %K sufficient condition %K discrete-time systems %K exponential stability analysis %K discrete time-varying delay system %X This study tackles the problems of exponential stability analysis and model reduction for spatially interconnected discrete-time systems with time-varying delay. The well-posedness, exponential stability, and contractiveness of spatially interconnected discrete-time systems subject to time-varying delay are defined and a sufficient condition in terms of linear matrix inequality (LMI) is put forth to test these properties. By exploiting the above analysis result, a sufficient condition for guaranteeing the existence of a reduced-order system is derived. With the help of Finsler lemma, a reduced-order system is derived based on the LMI method. By taking advantage of the same method, a delay-free reduced-order system for a given spatially interconnected discrete time-varying delay system can also be attained. Finally, two examples have been carried out to show the feasibility and validity of the derived theories. %@ 1751-8644 %T Exponential stability analysis and model reduction for spatially interconnected discrete-time systems with time-varying delay %B IET Control Theory & Applications %D November 2020 %V 14 %N 16 %P 2253-2266 %I Institution of Engineering and Technology %U https://digital-library.theiet.org/;jsessionid=3shmwl3ipe4oh.x-iet-live-01content/journals/10.1049/iet-cta.2020.0013 %G EN