Switched linear systems. Geometric approach

We consider equivalence relation between switched linear systems and compute the dimension of equivalence classes, after proving they can be obtained as the orbits of the action of a Lie group on the differentiable manifold of matrices defining the subsystems the system consists of and deduce minive...

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Detalles Bibliográficos
Autores: Magret Planas, Maria dels Dolors|||0000-0003-1135-2274, Montoro López, María Eulalia|||0000-0002-4087-3477
Tipo de recurso: informe técnico
Fecha de publicación:2011
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/15058
Acceso en línea:https://hdl.handle.net/2117/15058
Access Level:acceso abierto
Palabra clave:Linear systems
Switched linear system
Lie group action
miniversal deformation
Sistemes lineals
Àrees temàtiques de la UPC::Matemàtiques i estadística
Descripción
Sumario:We consider equivalence relation between switched linear systems and compute the dimension of equivalence classes, after proving they can be obtained as the orbits of the action of a Lie group on the differentiable manifold of matrices defining the subsystems the system consists of and deduce miniversal deformations