Construction of a Stability Domain of Linear Digital Systems in the Space of Parameters which Enter Nonlinearly the Coefficients of a Characteristic Equation

Abstract

We consider construction of stability domains of linear digital systems in the space of parameters entering nonlinearly the coefficients of a characteristic equation. Owing to the use of a digital analog of the D-partition method and the developed algorithm a stability domain of a real digital system is obtained. The proposed method results in the best accuracy of finding of a stability domain and is more effective and economical in the view of machine realization being compared with existing universal numerical methods.