A new state-space block-tridiagonal realization algorithm for matrix transfer functions and its use in absolute stability problems
P. Resende, Eugenius Kaszkurewicz · 1984
For linear multivariable systems, given by a matrix fraction description, a new realization algorithm is constructed to produce a state-space equation in blocktridiagonal form. This state-space equation is used to derive sufficient matrix algebraic conditions for the absolute stability of multivariable systems with multiple nonlinear feedback elements.