Linear and bilinear infinite-dimensional representations of finite-dimensional non-linear systems
- 1 July 1985
- journal article
- research article
- Published by Taylor & Francis in International Journal of Systems Science
- Vol. 16 (7) , 841-853
- https://doi.org/10.1080/00207728508926717
Abstract
The linear representation of non-linear systems is considered and applied to obtain a bilinear representation of a non-linear control system. Finally we consider the bilinear-quadratic regulator problem using a certain class of suboptimal controls.Keywords
This publication has 11 references indexed in Scilit:
- On a class of suboptimal controls for infinite-dimensional bilinear systemsSystems & Control Letters, 1985
- On the generation of infinite-dimensional bilinear systems and Volterra seriesInternational Journal of Systems Science, 1985
- Global transformations of nonlinear systemsIEEE Transactions on Automatic Control, 1983
- Global implicit function theoremsIEEE Transactions on Circuits and Systems, 1981
- Transformation of a nonlinear system into an augmented linear systemIEEE Transactions on Automatic Control, 1979
- Multilinear AlgebraPublished by Springer Nature ,1978
- Semigroups of unbounded linear operators in Banach spaceTransactions of the American Mathematical Society, 1977
- Describing functions revisitedIEEE Transactions on Automatic Control, 1975
- On the Equivalence of Control Systems and the Linearization of Nonlinear SystemsSIAM Journal on Control, 1973
- Justification of the Describing Function MethodSIAM Journal on Control, 1971