On the Global Bilinearization of Nonlinear Systems and the Existence of Volterra Series
- Publisher: Dept of Automatic Control and System Engineering. University of Sheffield
arxiv: Nonlinear Sciences::Exactly Solvable and Integrable Systems
A global Volterra series is developed for an analytic ayatem defined on an analytic manifold M. Local bilinearizations aew pieced together using the theory of fibre bundles, giving rise to "twisted" bilinear systems defined globally on M.