Estimates of asymptotic trajectory bounds in digital implementations of linear feedback control systems

Estimates are established for trajectory bounds which are easy to calculate, applicable to general controller topologies, and dependent on parameters (i.e. eigenvalues and eigenvectors) of the idealized linear system (i.e. the control system model neglecting quantizers). The approach utilizes the comparison principle in the Lyapunov theory and the properties of minimal matrix norms. The applicability of the results are demonstrated by means of a specific example.<
>