Stabilization and Robust Stability of Singularly Perturbed Systems

Abstract In many literature, it has been shown that stabilizability/robust stability of singularly perturbed systems are equivalent to stabilizability/robust stability of their reduced and boundary layer systems. This paper shows that these facts can be explained by the fact that two steps of the decomposition of full-systems and feedback operation are completely interchangeable. It is shown that the interchangeability enables us to obtain simple viewpoints and general results for stabilization and robust stability analysis of singularly perturbed systems.