Abstract: Two algorithms for the pole assignment of single-input linear systems are presented. The algorithm reduces an unknown y to a solution of a system of linear algebraic equations. Each row of the coefficient matrix G is a solution of a linear algebraic equation system with a triangle coefficient matrix. In the first algorithm, G is the eigenvector matrix of H^ which is orthogonal similar to state feedback matrix (A+BF). Low cost as compared with many existing algorithms are required.

Key words: feedback gain matrix, Hessenberg matrix, matrix eigenvalue, pole assignment, single-input linear system;