Stability analysis of discontinous quantum control systems with dipole and polarizability coupling
Grigoriu, Andreea (2012), Stability analysis of discontinous quantum control systems with dipole and polarizability coupling, Automatica, 48, 9, p. 2229–2234. http://dx.doi.org/10.1016/j.automatica.2012.06.028
Type
Article accepté pour publication ou publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00578341/en/Date
2012Journal name
AutomaticaVolume
48Number
9Publisher
Elsevier
Pages
2229–2234
Publication identifier
Metadata
Show full item recordAuthor(s)
Grigoriu, AndreeaAbstract (EN)
Closed quantum systems under the influence of a laser field, whose interaction is modeled by a Schrödinger equation with a coupling control operator containing both a linear (dipole) and a quadratic (polarizability) term are analyzed. Discontinuous feedbacks, obtained by a Lyapunov trajectory tracking procedure, have been recently proposed to control these type of systems. The purpose of this paper is to study the asymptotic stability by considering the solutions in the Filippov sense. The analysis is developed by applying a variant of LaSalle invariance principle for differential inclusions. Numerical simulations are included to illustrate the efficiency of the discontinuous control.Subjects / Keywords
Differential inclusions; Tracking; Control Lyapunov function; Stabilization; Quantum systemsRelated items
Showing items related by title and author.
-
Coron, Jean-Luc; Grigoriu, Andreea; Lefter, Catalin; Turinici, Gabriel (2009) Article accepté pour publication ou publié
-
Grigoriu, Andreea (2011) Communication / Conférence
-
Grigoriu, Andreea; Turinici, Gabriel; Rabitz, Herschel (2013) Article accepté pour publication ou publié
-
Belhadj, Mohamed; Grigoriu, Andreea; Turinici, Gabriel (2010) Communication / Conférence
-
Grigoriu, Andreea; Lefter, Catalin; Turinici, Gabriel (2009) Communication / Conférence