A Geometric Approach to Output Regulation for Linear Switching Systems

This paper considers the problem of asymptotic output regulation by output dynamic feedback for continuous-time linear switching systems, with the requirement of asymptotic stability of the regulation loop. Using tools and methods of the geometric approach, necessary and sufficient conditions for the existence of solutions, under suitable assumptions, are found. A synthesis procedure is outlined in case a stronger sufficient condition holds. The case of different stability requirements, in particular that of quadratic stability, is discussed.