We demonstrate an analytical method for calculating the phase sensitivity of a class of oscillators whose phase does not affect the time evolution of the other dynamic variables. We show that such oscillators possess the possibility for complete phase noise elimination. We apply the method to a feedback oscillator which employs a high Q weakly nonlinear resonator and provide explicit parameter ...

This paper studies continuation methods for nding isolated zeros of nonlinear functions.

Given a nonlinear infinite resistive network, an operating point can be determined by approximating the network by finite networks obtained by shorting together various infinite sets of nodes, and then taking a limit of the nodal potential functions of the finite networks. Initially, by taking a completion of the node set of the infinite network under a metric given by the resistances, limit po...

Kenneth H. McNichols / M. Sami Fadali Department of Electrical Engineering / MS 260 University of Nevada, Reno Reno, NV 89557 [email protected] / [email protected] Abstract Gain scheduling is a popular approach for nonlinear control system design. A controller is obtained by designing a set of controllers at operating points and then linearly interpolating controller values between them. Howe...

The present work proposes a new logic-based safe switching technique, called here Stepwise Safe Switching. This technique is based on the description of the process with linear approximants which are valid in operating areas around a finite number of nominal operating points of the process. Switching takes place between common controllers for adjacent nominal operating points. Moreover, the swi...

This paper is concerned with the number of operating points in two-transistor circuits. Recently, a new method was proposed for analyzing twotransistor circuit and an Ebers-Moll BJT circuit possessing five operating points was shown numerically. In this paper, applying the technique of numerical validation, we verify the numerical results rigorously and prove that the circuit have more than thr...