On the stabilisation of a class of SISO switched linear systems

We consider stabilisation of SISO switched linear systems of arbitrary order. Our approach is motivated by applications in which the major design objective is to achieve similar behaviour of the closed-loop system in each mode. We exploit the algebraic properties of a class of matrices to develop design guidelines to achieve this goal for a class of SISO switched linear systems. It is shown that closed-loop stability and transient-free switching can be achieved simultaneously.