Nilpotent semigroups for the characterization of flat outputs of switched linear and LPV discrete-time systems

This paper addresses the problem of flat output characterization for switched linear systems. The characterization is also extended to LPV systems. The characterization is based on the notion of nilpotent semigroups. A complete corresponding recursive algorithm is provided. It stops after a finite number of steps bounded by the dimension of the system. Illustrative examples, for the respective class of switched linear and LPV systems, highlight the efficiency of the characterization.