Numerical Operations with Polynomial Matrices : Application to Multi Variable Dynamic Compensator Design The purpose of this monograph is to describe a class of com putational methods based on polynomial matrices for the design of dynamic compensators for linear multi variable control systems. The design of the compensator which may be either analogue or digital is based on pole assignment. A matrix fraction description which employs polynomial matri ces is used to represent the system. The design comptuta tion however employs matrices of real numbers rather than polynomial matrices. This simplifies the computational pro cedures which can thus be implementedin commercially avai lable software packages. Both transient and steady state performace specifications are included in the design proce dure which is illustrated by four detailed examples. The monograph should be of interest to research workers and engineers in the field fo multi variable control. For the former it provides some new computational tools for the ap plication of algebraic methods for both groups it introdu ces some new ideas for a more direct approach to compensator design