Deformations for linear periodic discrete-time systems: the adjoint normal form

Following the technique proposed by Arnold for matrices (time-invariant autonomous systems), and extended by Tannenbaum to time-invariant linear control systems (with inputs and outputs), a normal form for linear periodic discrete-time systems depending on physical parameters is proposed. The considered actions are deformations, i.e. linear periodic transformations depending on the parameters, being identity at the nominal values of them.