Some Stability Results Related to Those of V. M. Popov*

Abstract

In a recent paper by this writer, some new techniques are described for obtaining sufficient conditions for the L2-boundedness and L∞-boundedness of solutions of nonlinear functional equations. In this paper, these techniques are developed further and are used to prove some stability results for large classes of feedback systems and electrical networks that contain subsystems which are not necessarily representable in terms of ordinary differential equations.