Three new dominance characteristics are introduced to the multivariable Nyquist array methods. The first characteristic utilizes a conformal mapping procedure to establish a new set of bands in the ‘ image ’ plane to assist in feedback gain selection and stability assessment. The second characteristic uses the ‘ image ’ band concept to provide a theoretical foundation for finite frequency dominance considerations, thus removing the restrictive requirement of dominance for all 8 on the NyquistDcontour. The third characteristic provides for the sharing of system dominance among the feedback control loops. This dominance sharing concept may be used to establish dominance and/or to improve the dominance condition in prespecified feedback loops.