Geodesic
On controllability criteria for linear time-invariant singularly perturbed systems
Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 54-65.

Voir la notice de l'article provenant de la source Math-Net.Ru

For linear time-invariant singularly perturbed systems some effective necessary and sufficient conditions of complete controllability and controllability with respect to a part of variables are proved. All results are formulated in terms of defining equations that are matrix algebraic equations. These equations are constructed directly and are determined by a singularly perturbed system under investigation. A mathematical model of a moving passenger car with an active suspension as a control object for a singularly perturbed system is proposed. Results of the paper are applied to investigating complete controllability of an active suspension quarter-car model. 
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T. B. Kopeikina. On controllability criteria for linear time-invariant singularly perturbed systems. Trudy Instituta matematiki, Tome 14 (2006) no. 2, pp. 54-65. http://geodesic.mathdoc.fr/item/TIMB_2006_14_2_a6/

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