Linearization by generalized input-output injections on homogeneous time scales

The problem of linearization by generalized input-output injections is addressed for nonlinear multi-input singleoutput systems, described by higher order input-output deltadifferential equations, defined on homogeneous time scales. Necessary and sufficient conditions are formulated in terms of differential forms, associated with the input-output equation of the system. The paper provides a step-by-step algorithm for verification of the necessary and sufficient conditions and computation of generalized input-output injections.