Disturbance Decoupling with Quadratic Stability for Polytopic Uncertain Switched Linear Systems

In this paper two disturbance decoupling problems without stability and with quadratic stability via state feedback for polytopic uncertain switched linear systems are investigated. Firstly, simultaneous invariant subspaces for a family of linear systems with two types of state feedback are investigated. Next, disturbance decoupling problems via state feedback for polytopic uncertain switched linear system are formulated and sufficient conditions for the problems to be solvable are presented. Further, the combined problems of disturbance decoupling and quadratic stabilizability are also investigated.