A consideration of the discrete Volterra series
- 1 July 1965
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 10 (3) , 322-327
- https://doi.org/10.1109/tac.1965.1098167
Abstract
By utilizing multidimensional Z transforms and the discrete form of the Volterra series it is shown how to analyze a large class of nonlinear sampled-data systems and nonlinear difference equations, presenting the solution in terms of the kernels of the Volterra series. The method is shown to be just as applicable when the discrete system is not quiescent with the interaction between the initial conditions and the driving function evidenced by means of the transition matrix. Several illustrative examples are given, and applications of the method are suggested.Keywords
This publication has 3 references indexed in Scilit:
- Some fundamental aspects of process-parameter estimationIEEE Transactions on Automatic Control, 1963
- Volterra series representation of nonlinear systemsTransactions of the American Institute of Electrical Engineers, Part II: Applications and Industry, 1963
- Convolutionz-transform method applied to certain nonlinear discrete systemsIRE Transactions on Automatic Control, 1962