Spectral analysis and system identification techniques require suitably long data sets. Linear time-invariant (LTI) systems under random input can be demanding in terms of accurate simulation all dynamics because calculation time. This paper details an extension the state-space formulation LTI for higher order holds, periodic exponential inputs. Exact solutions differential state equation are i...

Abstract It is well-known that the performance of linear time-invariant (LTI) feedback control hampered by fundamental limitations. In this paper, it shown using a so-called hybrid integrator-gain system (HIGS) in controller, important LTI limitations can be overcome. particular, we show for two limitations, where overshoot step-response has to present any stabilizing controller. For each case,...