A computer algebra system for analysis and control of nonlinear time-delay systems

Gárate-García, Araceli; Marquez-Martinez, Luis Alejandro; Cuesta-García, J. R.; García–Ramírez, Eduardo

doi:10.1016/j.advengsoft.2013.05.013

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“…which is associated to the time-delay system (1). The computation of the extended Lie bracket can be implemented in some computer algebra software as done in [6].…”

Section: Extended Lie Bracketmentioning

confidence: 99%

On the Existence of the Normal Form for Nonlinear Delay Systems

Califano

Moog

2015

Recent Results on Nonlinear Delay Control Systems

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International audienceThe normal form is discussed for nonlinear systems affected by constant commensurate delays. Two different forms are argued. In particular, necessary and sufficient conditions are given under which a nonlinear time-delay system can be decomposed into a (weakly) observable subsystem and a non observable subsystem. Whenever such a decomposition exists, additional conditions are required to ensure the feedback linearization of the weakly observable subsystem. Finally, a full characterization is derived for the nonlinear time delay system to have an unobservable subsystem not directly affected by the input and a weakly observable subsystem which is linearizable by feedback. The performed analysis is carried out within a new geometric framework recently introduced in the literature

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“…which is associated to the time-delay system (1). The computation of the extended Lie bracket can be implemented in some computer algebra software as done in [6].…”

Section: Extended Lie Bracketmentioning

confidence: 99%