A necessary condition for the controllability of a nonlinear system (Q1315603)
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scientific article; zbMATH DE number 514967
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A necessary condition for the controllability of a nonlinear system |
scientific article; zbMATH DE number 514967 |
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A necessary condition for the controllability of a nonlinear system (English)
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22 March 1994
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Nonlinear, continuous-time, finite-dimensional control systems are considered. Using the methods of Lie algebra a necessary condition for total controllability in an arbitrary time is formulated and proved. Moreover, some additional remarks and comments on the controllability of nonlinear dynamical systems are also given. Finally, simple an illustrative example is presented. Similar controllability problems have been recently considered in the monograph [Nonlinear controllability and optimal control (1990; Zbl 0699.00040)].
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Lie algebra
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total controllability
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continuous-time
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