Stability and passivity analysis of systems with time varying parameters

This paper concerns passivity and stability analysis of linear time varying (LTV) systems characterized by parametric time variations. The first set of results quantify a trade off between the degree of passivity of the frozen systems and the rate of parameter variations, so that passivity of certain classes of such LTV systems is preserved. One class of systems examined has frozen systems whose transfer functions are multiaffinely parametrized. Another class considered includes linear circuits with time varying resistors, inductors capacitors and mutual inductors. The second set of results exposes the utility of these passivity results in stability analysis.