Quadratic Embedding into Algebras and Global Stabilization for a Class of Nonlinear Control Systems (Contributo in atti di convegno)

Type
Label
  • Quadratic Embedding into Algebras and Global Stabilization for a Class of Nonlinear Control Systems (Contributo in atti di convegno) (literal)
Anno
  • 2013-01-01T00:00:00+01:00 (literal)
Alternative label
  • F. Carravetta (2013)
    Quadratic Embedding into Algebras and Global Stabilization for a Class of Nonlinear Control Systems
    in 14th International Carpathian Control Conference, (ICCC '13), Rytro, Polonia, Maym 26-28
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • F. Carravetta (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • IASI-CNR (literal)
Titolo
  • Quadratic Embedding into Algebras and Global Stabilization for a Class of Nonlinear Control Systems (literal)
Abstract
  • A class of nonlinear systems is considered in IR2 which system's function of has each component being a product of real powers of the state's entries. We call that an '?-algebraic' nonlinear systems. It is shown that every ?-algebraic nonlinear system undergoes a quadratic embedding into a suitable (non associative) algebra. This means that a product can be defined in the state-space, which makes the latter a non associative algebra, whose associated quadratic differential equation has a subset of entries of its solution equal to the solution of the original nonlinear system. We also study a related control problem, where for a meaningful subclass of the considered systems it is shown that a state-feedback regulator can be build up, having exponential performance, which makes the origin in IR2 a globally asymptotically stable equilibrium point of the closed-loop system. (literal)
Prodotto di
Autore CNR
Insieme di parole chiave

Incoming links:


Prodotto
Autore CNR di
Insieme di parole chiave di
data.CNR.it