Controllability and feedback stabilizability in a nonuniform framework.
We propose a new controllability property for linear nonautonomous control systems in finite dimension: the nonuniform complete controllability, which is halfway between the classical Kalman’s properties of complete controllability and uniform complete controllability. This new concept has a strong...
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| Other Authors: | , |
| Format: | article |
| Language: | English French |
| Published: |
2024
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.672/ https://hdl.handle.net/20.500.12008/48559 |
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| Summary: | We propose a new controllability property for linear nonautonomous control systems in finite dimension: the nonuniform complete controllability, which is halfway between the classical Kalman’s properties of complete controllability and uniform complete controllability. This new concept has a strong linkage, as we prove, with the property of nonuniform bounded growth for the corresponding plant. In addition, we also prove that if a control system is nonuniformly completely controllable and its plant (uncontrolled part) has the property of nonuniform bounded growth, then there exist a linear feedback control leading to a nonuniformly exponentially stable closed–loop system. |
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