Generalization of the matrix stability region placement method

Abstract

The recently introduced real-time simulation algorithm, the matrix stability region placement (MSRP) method, is generalized. The regression coefficients of the integrator under investigation are generalized with the aid of the Stirling numbers of the first kind. A heuristic argument is given for the equivalence of this method with a special class of nth order hold techniques which are formulated by means of the Gregory-Newton interpolation function. The MSRP method is used for simulating a small perturbation model of the NASA Lewis 40-60 mixed compression inlet. It is shown that the MSRP can provide speed up time of about 40 compared to the second-order Adams-Bashforth method.