Any dynamical system is fully accessible through one single actuator, and related problems - Archive ouverte HAL
Article Dans Une Revue International Journal of Robust and Nonlinear Control Année : 2016

Any dynamical system is fully accessible through one single actuator, and related problems

Yu Kawano
  • Fonction : Auteur
  • PersonId : 952871
Ülle Kotta
  • Fonction : Auteur
  • PersonId : 862637

Résumé

Whether an autonomous system can be rendered fully accessible through one single actuator is a long standing open problem which got some solutions in special cases when additional constraints are considered. Herein it is shown that a solution to the general problem is provided as an easy consequence of the straightening theorem. This solution is innovative for linear time-invariant systems as well and relaxes the well known cyclicity condition as it involves nonlinear state transformations. The dual problem of designing one single sensor to render a given system observable gets a similar almost unconditional solution.

Domaines

Automatique

Dates et versions

hal-01158281 , version 1 (30-05-2015)

Identifiants

Citer

Yu Kawano, Ülle Kotta, Claude H. Moog. Any dynamical system is fully accessible through one single actuator, and related problems. International Journal of Robust and Nonlinear Control, 2016, 26 (8), pp.1748-1754. ⟨10.1002/rnc.3379⟩. ⟨hal-01158281⟩
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