Explicit Input Signal Design for Stable Linear Ensemble Systems

The control of ensemble systems arising in multiple science and engineering domains has recently received increased attention due to a number of newly emerging applications. While structural controllability of linear ensemble systems has been extensively studied, the problem of constructing an actual input signal that will steer an ensemble system between arbitrarily given ensemble states remains a challenging task. In this paper, we consider a class of continuous-time stable linear ensemble systems and design explicit control laws to steer such ensembles between states of interest. The control is synthesized using the discrete-time counterpart of the original continuous-time ensemble system. Simulations are provided to demonstrate the effectiveness of the developed design method.