Title :
Accessibility under multirate control for nilpotent lie algebra
Author :
Monaco, Salvatore ; Normand-Cyrot, Marie-Dorothée
Author_Institution :
Univ. di Roma "La Sapienza", Rome
Abstract :
The paper deals with the exact input-state matching under multirate sampled control of an input-affine dynamics under suitable nilpotency assumptions of the associated Lie algebra. Solutions are given under the assumption of nilpotency at the orders 1 and 2 and then at the order p under the additional assumption of nilpotency at order 1 of the zero-time controllability Lie algebra.
Keywords :
Lie algebras; continuous time systems; controllability; sampled data systems; exact input-state matching; input-affine dynamics; multirate sampled control; nilpotent Lie algebra; zero-time controllability; Algebra; Character generation; Control systems; Controllability; Impedance matching; Materials requirements planning; Optimal control; Sampling methods; Terminology; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434464
