CUED Publications database

Singularities and Moments of Nonlinear Systems

Padoan, A and Astolfi, A (2020) Singularities and Moments of Nonlinear Systems. IEEE Transactions on Automatic Control, 65. pp. 3647-3654. ISSN 0018-9286

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The notions of eigenvalue, pole and moment at a pole of a continuous-time, nonlinear, time-invariant system are studied. Eigenvalues and poles are first characterized in terms of invariant subspaces. Tools from geometric control theory are used to define nonlinear enhancements of these notions and to study their relationship with the solution of certain partial differential equations, cascade decompositions and steady-state impulse responses. The theory is illustrated by means of worked-out examples and its significance is demonstrated by solving the model reduction problem by moment matching at poles for nonlinear systems.

Item Type: Article
Divisions: Div F > Control
Depositing User: Unnamed user with email
Date Deposited: 21 Aug 2020 20:05
Last Modified: 09 Sep 2021 01:58
DOI: 10.1109/TAC.2019.2951297