On the convergence of a discrete Volterra series
- 1 February 1970
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 15 (1) , 140-142
- https://doi.org/10.1109/tac.1970.1099380
Abstract
This correspondence deals with a method for generating a discrete Volterra type series expansion for certain non-linear difference equations describing a class of nonlinear discrete-data systems. The method permits the formulation of a criterion for the convergence of the series via the contraction mapping principle.Keywords
This publication has 3 references indexed in Scilit:
- On the convergence of Volterra seriesIEEE Transactions on Automatic Control, 1968
- A consideration of the discrete Volterra seriesIEEE Transactions on Automatic Control, 1965
- The Use of Volterra Series to Find Region of Stability of a Non-linear Differential Equation†International Journal of Control, 1965