Bilinear and Nonlinear Realizations of Input-Output Maps
- 1 July 1975
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Control
- Vol. 13 (4) , 827-834
- https://doi.org/10.1137/0313049
Abstract
Given a nonlinear realization of an input-output map, sufficient conditions are given for the existence of an equivalent bilinear realization for small t. It is also shown that every nonlinear realization can be approximated by a bilinear realization, with an error that grows like an arbitrary power of t.Keywords
This publication has 16 references indexed in Scilit:
- Realization and Structure Theory of Bilinear Dynamical SystemsSIAM Journal on Control, 1974
- Bilinear systems: An appealing class of "nearly linear" systems in theory and applicationsIEEE Transactions on Automatic Control, 1974
- A Generalization of Chow’s Theorem and the Bang-Bang Theorem to Nonlinear Control ProblemsSIAM Journal on Control, 1974
- Controllability of nonlinear systemsJournal of Differential Equations, 1972
- System Theory on Group Manifolds and Coset SpacesSIAM Journal on Control, 1972
- Introduction to Lie Algebras and Representation TheoryPublished by Springer Nature ,1972
- Contrôlabilité des Systèmes non LinéairesSIAM Journal on Control, 1970
- Linear differential systems with singularities and an application to transitive Lie algebrasJournal of the Mathematical Society of Japan, 1966
- On the Accessibility Problem in Control TheoryPublished by Elsevier ,1963
- Über Systeme von liearren partiellen Differentialgleichungen erster OrdnungMathematische Annalen, 1940