We consider equivalence relation between switched linear systems and compute the dimension of equivalence classes, after proving they can be obtained as the orbits of the action of a Lie group on the differentiable manifold of matrices defining the subsystems the system consists of and deduce miniversal deformations.

This article addresses the invertibility problem for switched nonlinear systems affine in controls. The problem is concerned with reconstructing the input and switching signal uniquely from given output and initial state. We extend the concept of switch-singular pairs, introduced recently, to nonlinear systems and develop a formula for checking if the given state and output form a switch-singul...