A full characterization of accessibility is provided for nonlinear time-delay systems. It generalizes the rank condition which is known for weak controllability of linear time-delay systems, as well as the celebrated geometric approach for delay-free nonlinear systems and the characterization of their accessibility. Besides, fundamental results are derived on integrability and basis completion which are of major importance for a number of general control problems for nonlinear time-delay systems. They are shown to impact preconceived ideas about canonical forms for nonlinear time-delay systems.
Accessibility of Nonlinear Time-Delay Systems / Califano, Claudia; Moog, Claude H.. - In: IEEE TRANSACTIONS ON AUTOMATIC CONTROL. - ISSN 0018-9286. - 62:3(2017), pp. 1254-1268. [10.1109/TAC.2016.2581701]
Accessibility of Nonlinear Time-Delay Systems
CALIFANO, Claudia
;
2017
Abstract
A full characterization of accessibility is provided for nonlinear time-delay systems. It generalizes the rank condition which is known for weak controllability of linear time-delay systems, as well as the celebrated geometric approach for delay-free nonlinear systems and the characterization of their accessibility. Besides, fundamental results are derived on integrability and basis completion which are of major importance for a number of general control problems for nonlinear time-delay systems. They are shown to impact preconceived ideas about canonical forms for nonlinear time-delay systems.| File | Dimensione | Formato | |
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Califano_Accessibility-of-Nonlinear_Preprint_2017.pdf
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Note: DOI: 10.1109/TAC.2016.2581701
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