Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2008.608.614MoaveniB. Khaki-SedighA. 4200884In this study, a new approach to solve the Sylvester equation, AX+XA = -BC is derived. The calculated cross-Gramian matrix, which results from the Sylvester equation, proposes a new input-output pairing analysis for stable multivariable plants. This new approach is based on the cross-Gramian matrix of SISO elementary subsystems built from the original MIMO plant and the main advantage of the method is its simplicity to choose the best input-output pair, though, it considers the plant dynamic properties.]]>Asano, K. and M. Morari,1998610211027Astrom, K.J., K.H. Johansson and Q.G. Wang,20021497481Bristol, E.H.,196611133134Chen, D. and D.E. Seborg,200248302310Conley, A. and M.E. Salgado,200477367383Fernando, K.V. and H. Nicholson,198328228231Grosdidier, P. and M. Morari,198622309319Hu, Q. and D. Cheng,200619859864Jbilou, K.,2006177365376Kariwala, V., S. Skogestad and J.F. Forbes,20064517511757Khaki-Sedigh, A. and A. Shahmansoorian,19963220272028Moaveni, B. and A. Khaki-Sedigh,20072138146Moaveni, B. and A. Khaki-Sedigh,2007734923498Skogestad, S. and I. Postlethwaite,20052005Takagi, K. and H. Nishimura,2003113242Tan, W., H.J. Marquez, T. Chen and R.K. Gooden,20012001pp: 2527Van de Wal, M. and B. De Jagar,200137487510Wittenmark B. and M.E. Salgado,20022002pp: 16Xiong, Q., W.J. Cai and M.J. He,20055741747Zhou, B. and G.R. Duan,2005402345366Zhou, B. and G.R. Duan,200655193198