A. S. Aliev, A. I. Barkin, “Algorithm and software for computing the exact boundaries of the stability of nonlinear discrete systems”, Informatsionnye Tekhnologii i Vychslitel'nye Sistemy, 2011, Issue 4,Pages <nobr>39

MATHEMATICAL MODELING

Algorithm and software for computing the exact boundaries of the stability of nonlinear discrete systems

A. S. Aliev, A. I. Barkin

Institute for Systems Analysis of Russian Academy of Sciences

Abstract: The paper describes the calculation algorithm for the maximal area of absolute stability, restricting the non-linearity in the nonlinear discrete system. Method of harmonic balance on the elements of a trigonometric polynomial is used. Software for the stability analysis of nonlinear discrete systems is described.

Keywords: calculation algorithms, nonlinear control systems, pulse systems, absolute stability, frequency response.