Approximate and local linearizability of non-linear discrete-time systems
- 1 October 1986
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 44 (4) , 1103-1124
- https://doi.org/10.1080/00207178608933653
Abstract
We consider a single-input non-linear discrete-time system of the form where x ϵℝN, uϵℝ, and f(x,u): ℝN+1 → ℝN is a C∞ ℝN - valued function. Necessary and sufficient conditions for approximate linearizability are given for Σ. We also give necessary and sufficient conditions for local linearizability. Finally, we present analogous results for multi-input non-linear discrete-time systems.Keywords
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