In this paper the integrability of differential one-forms is studied in case time-delays are present. Two notions, weak and strong integrability, are defined and the difference with delay-free case is explained. After giving the algorithms to check if some one-forms are strongly or weakly integrable, based on examples, the differences of the two notions of integrability are studied. Finally, the role of integrability is explained when looking for a change of coordinates together with an application to accessibility property.
Towards integrability for nonlinear time-delay systems / Arvo, Kaldmäe; Claude, H. Moog; Califano, Claudia. - 48:(2015), pp. 900-905. (Intervento presentato al convegno 1st IFAC Conference on Modelling, Identification and Control of Nonlinear Systems tenutosi a Saint Petersburg; Russia nel June 2015) [10.1016/j.ifacol.2015.09.305].
Towards integrability for nonlinear time-delay systems
CALIFANO, Claudia
2015
Abstract
In this paper the integrability of differential one-forms is studied in case time-delays are present. Two notions, weak and strong integrability, are defined and the difference with delay-free case is explained. After giving the algorithms to check if some one-forms are strongly or weakly integrable, based on examples, the differences of the two notions of integrability are studied. Finally, the role of integrability is explained when looking for a change of coordinates together with an application to accessibility property.| File | Dimensione | Formato | |
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