Static state feedback linearization of nonlinear control systems on homogeneous time scales. (English) Zbl 1327.93116
Summary: The paper addresses the problem of static state feedback linearization for nonlinear control systems defined on homogeneous time scales. Necessary and sufficient conditions for generic local linearizability of the considered systems by static state feedback and state transformation are presented in terms of a sequence of subspaces of differential one-forms related to the system.
MSC:
| 93B18 | Linearizations |
| 93B52 | Feedback control |
| 93C10 | Nonlinear systems in control theory |
| 93C70 | Time-scale analysis and singular perturbations in control/observation systems |
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