Numerical computation and new output bounds for time-limited balanced truncation of discrete-time systems

In this paper, balancing based model order reduction (MOR) for large-scale linear discrete-time time-invariant systems in prescribed finite time intervals is studied. The first main topic the development of error bounds regarding approximated output vector within limits. influence different components established will be highlighted. After that, second part article proposes strategies that enable an efficient numerical execution time-limited balanced truncation systems. Numerical experiments illustrate performance proposed techniques.