A formulation of an inequalities method for Eigenstructure Assignment (EA) in linear systems based upon the Linear Quadratic Regulator (LQR) problem is presented as multi-objective optimization problem. The weighting matrices that must satisfy the allocation are determined by a genetic algorithm implemented in a high performance parallel framework. The proposed method is tested on an aircraft model and the Eigenstructure Assignment is analyzed through modal techniques, where the input-state and output-state coupling degrees, as well as every eigenvector contribution in the composition of each state.2 14761481Andry A.N., Jr., Shapiro, E.Y., Chung, J.C., Eigenstructure Assignment for Linear Systems (1983) IEEE Transactions on Aerospace and Electronic Systems, 19 (5), pp. 711-729. , SeptemberBottura, C.P., Da Fonseca Neto, J.V., Parallel genetic algorithm fitness function team for eigenstructure assignment via lqr designs (1999) Congress on Evolutionary Computation - CEC99, 2, pp. 1035-1042. , Washington, DC, USA, JulyDavis, R., Clarke, T., Parallel Implementation of a Genetic Alghorithm (1995) Control Eng. Practice, 3 (1), pp. 11-19D'Azzo, J., Houpis, C.H., (1995) Linear Control Systems, Analysis and Design - Conventional and Modern, , Mc Graw Hill Inc, USA, fourth editionFahmy, M.M., O'Reilly, J., On Eigenstructure Assignment in Linear Multivariable Systems (1982) IEEE Transaction on Automatic Control, 27 (3), pp. 690-693. , JuneKailath, T., (1980) Linear Systems, , Prentice-Hall Inc., Englewood Cliffs, N.J.,USA, first editionKalman, R.E., On the General Theory of Control (1960) Proceedings of First IFAC Congress, 1, pp. 481-491. , Butter Worth, LondonKalman, R.E., Falb, P., Arbib, M.A., (1969) Topics in Mathematical System Theory, , McGraw-Hill, New York, USALiu, G.P., Patton, R.J., (1998) Eigenstructure Assignment for Control System Design, , John Willey & SonsMac Farlane, A.G.M., (1974) Relationships between Recent Developments in Linear Control Theory and Classical Design Techniques the Book - Control System Design by Pole-Zero Assignment - Edited by F. Falside, , Academic Press Inc., LondonMoore, B.C., On the Flexibility Offered by State Feedback in Multivariable Systems Beyond Closed Loop Eigenvalue Assignment (1976) IEEE Transaction on Automatic Control, 21 (6), pp. 689-692. , OctoberPorter, B., Eigenvalue sensitivity of Modal control to Loop gain Variations (1969) International Journal of Control, 10 (2), pp. 159-162Porter, B., D'Azzo, J.J., Algorithm for the Synthesis of State Feedback Regulator by Entire Eigenstructure Assignment (1977) Electronics Letters, 13 (8), pp. 230-231. , AprilRissanen, J., Control Systems Synthesis by Analogue Computer Based on the Generalized Linear Feedback Concept (1960) Proceedings of the Symposium on Analog Computation Applied to the Study of Chemical Processes, 1, pp. 1-13. , International Seminar. Brussels, BelgiumSobel, K.M., Shapiro, E.Y., Eigenstructure Assignment: A Tutorial Part I Theory (1985) Proceedings of American Control Conference 5th, 1, pp. 456-460. , Saint-Nazaire, USAWhite, B.A., Eigenstructure Assignment: A survey (1995) Journal of Systems and Control Engineering - Proc Instn Mech Engers., 209, pp. 1-11Wilkinson, J.G., (1965) The Algebraic Eigenvalue Problem, , Oxford-Press, Oxford-UKWonham, W.M., On Pole Assignment in Multi-Input Controllable Linear System (1967) IEEE Transaction on Automatic Control, 12 (6), pp. 660-665. , DecemberZakian, V., Al-Naib, U., Design of dynamical and control systems by the method of inequalities (1973) IEE-Proceedings, 120 (11), pp. 1421-1427. , November