This paper deals with the stability problem of discrete-time and discrete-value (discretized/quantized) control systems in a frequency domain. The discretized (stepwise) nonlinear characteristic on a grid pattern is partitioned into two sections: bounded and sectorial areas. First, by considering a sectorial area over a specified threshold, the robust stability condition for nonlinear discrete-...

On the stability and error structure of BDF schemes applied to sectorial problems – p. 1/17

A generalized solution procedure is developed for in-plane free vibration of rectangular and annular sectorial plates with general boundary conditions. For the annular sectorial plate, the introduction of a logarithmic radial variable simplifies the basic theory and the expression of the total energy. The coordinates, geometric parameters and potential energy for the two different shapes are or...