A unified approach for stability analysis of a class of time-varying nonlinear systems

It is shown that an integral with negative feedback from its output termina l through a strictly passive system is still strictly passive. By using suc cessive negative feedback around integrals, the conditions of strict passiv ity and a unified approach for constructing strictly passive systems are ob tained for time-varying nonlinear systems of different orders. A new concep t of "dissipation factor" is defined in this paper. The stability of a clas s of time-varying nonlinear systems Is examined by using this passivity ana lysis.