Balanced Truncation Model Order Reduction in Limited Frequency and Time intervals for Discrete-Time Commensurate Fractional-Order Systems

This archive contains the Matlab scripts for calculation of time- and frequency-limited controllability and observability Gramians for discrete-time commensurate fractional-order systems as well as provide the TLBT, FLBT, and FW reduction methods for fractional-order systems. This is the code developed for the paper: Rydel M., Stanisławski R., Latawiec K.J.: Balanced Truncation Model Order Reduction in Limited Frequency and Time Intervals for Discrete-Time Commensurate Fractional-Order Systems, Symmetry, 2019, vol. 11, no. 2, Article ID: 258, DOI: 10.3390/sym1102025