Bezout factors and L1-optimal robust controllers design for MIMO input delay systems

This paper, using the normalized coprime factors of finite-dimensional systems in the L² setting, gives the normalized coprime factors of infinite-dimensional causal strictly proper input delay systems. Using generalized inverse matrices theory, the paper shows the Bezout factors of the systems in question, and gives the procedure and algorithms for the design of the L¹ -optimal robust stabilization controllers.