Exact linearizations of input-output systems
- 1 January 1986
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 43 (1) , 247-255
- https://doi.org/10.1080/00207178608933461
Abstract
The problem of transforming non-linear systems to linear systems is receiving much attention in the literature. In this paper, we present necessary and sufficient conditions such that a non-linear control system with output can be equivalent to a linear control system with linear output that is controllable and observable. The conditions depend on certain Lie derivatives of the output and can be verified in a finite number of steps. For simplicity, we consider only the single input/single output case.Keywords
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