Showing papers on "Volterra series published in 1972"
TL;DR: The paper examines the system and derives the properties that the kernels must fulfil as a result of the definition of the system, and an example of a surface runoff system based on a possible second order kernel function having the desired properties is included.
34 citations
TL;DR: For a tracker with a general polynomial nonlinearity, an arbitrary initial pointing error, and a bounded deterministic input, a method is developed for finding upper bounds on the magnitude of the tracking error using Volterra series techniques.
Abstract: A typical function of an angle tracking loop is to keep a radar antenna pointed at a target. The error in pointing is directly related to successful operation of the tracking device; therefore, its behavior is of interest. For a tracker with a general polynomial nonlinearity, an arbitrary initial pointing error, and a bounded deterministic input, a method is developed for finding upper bounds on the magnitude of the tracking error using Volterra series techniques. Convergence regions of the Volterra series are also obtained. Applications of these results are made to a second-order tracking device.
20 citations
01 Oct 1972
TL;DR: Using the concept of a multidimensional Z transform, a method for solving time-invariant nonlinear difference equations is proposed in this article, where the solution is obtained in the form of a discrete Volterra series.
Abstract: Using the concept of a multidimensional Z transform, a method for solving time-invariant nonlinear difference equations is proposed. The solution is obtained in the form of a discrete Volterra series. Using the new technique, the response of a nonlinear sampled-data control system is obtained which compares very favourably with that obtained by other, more tedious and cumbersome, methods.
6 citations
01 Jan 1972
TL;DR: Methods are presented showing how the Volterra series, representative of the system, can be obtained, and the system equations can be written.
Abstract: : Many nonlinear systems of interest have outputs which depend on the past of the input rather than just on its current value. When they can be represented by Volterra series, such systems are known as Volterra systems. In the paper, it is assumed that the system equations can be written. Methods, with examples, are then presented showing how the Volterra series, representative of the system, can be obtained. (Author)
4 citations
01 Dec 1972
2 citations
TL;DR: In this paper, expressions for the creep strain obtained in accordance with the Leaderman-Rozovskii theory and in the form of a multiple-integral Volterra series are compared for different loading paths.
Abstract: Expressions for the creep strain obtained in accordance with the Leaderman-Rozovskii theory and in the form of a multiple-integral Volterra series are compared for different loading paths The influence functions are assumed to be symmetrical The strain intensity-time curves are calculated for a complex loading path for which the stress intensity is constant It is found that these curves are nonmonotonic for both linear and nonlinear creep
1 citations