© 1994 by Institute of Mathematics and its Applications
A regional inverse eigenvalue problem: solution with application in control theory
Department of Engineering Mathematics, Faculty of Engineering, Alexandria University Alexandria, Egypt
A new procedure for the solution of the regional inverse eigenvalue problem is suggested and applied to the pole-assignment problem of control theory. Algebraic inequalities are derived which set bounds on the real and imaginary parts of the closed-loop matrix eigenvalues. As a result, these eigenvalues are located inside a prescribed rectangular region in the complex plane, which is better in real applications for controlling the system performance by a controller matrix which is computed in a simpler way.