SEMI‐DEFINITENESS OF FUNCTIONAL MATRICES AND APPLICATION IN THE ANALYSIS OF SINGULAR RC CIRCUITS

A simple algebraic test applied to a specially constructed constant matrix is developed to test the semi‐definiteness property of symmetric functional matrices. The simplicity of the algebraic test makes it very suitable for computer implementation. The results are applied in the analysis of a class of nonlinear time‐varying singular RC networks. Robustness of the boundedness property of network response with respect to resistive elements is shown.