Local realization of linear and nonlinear time-varying systems
- 1 December 1982
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- p. 733-738
- https://doi.org/10.1109/cdc.1982.268237
Abstract
The aim of this paper is to present an algebraic theory of the realization of linear and nonlinear time-varying systems. In the linear case, the correspondence between Kalman's factorization criterion and the representative functions leads to a very simple and transparent formulation of the realization theory. In the nonlinear case, the time-varying realization is related to the strong controllability of the system. The connection between linear and nonlinear time-varying systems is investigated by using noncommutative generating series.Keywords
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