Partial compensation problem in large scale systems

This paper addresses the problem of partial state feedback compensation for large scale systems. It is desired that the eigenvalues of the closed loop state matrix lie in a specified region of the complex plane satisfying prescribed damping and stability margin. Only those eigenvalues of the state matrix are affected which do not lie in the desired region. This is achieved by block upper triangular decomposition of the state matrix. To decompose the system without having to compute the eigenvalues of the state matrix, matrix sector functions are used