IEEE Transactions on Automatic Control, Vol.44, No.5, 998-1002, 1999
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 terminal through a strictly passive system is still strictly passive. By using successive negative feedback around integrals, the conditions of strict passivity and a unified approach for constructing strictly passive systems are obtained for time-varying nonlinear systems of different orders. A new concept of "dissipation factor" is defined in this paper. The stability of a class of time-varying nonlinear systems Is examined by using this passivity analysis.
Keywords:STABILIZATION