Backward linear control systems on time scales

We show how a linear control systems theory for the backward nabla differential operator on an arbitrary time scale can be obtained via Caputo's duality. More precisely, we consider linear control systems with outputs defined with respect to the backward jump operator. Kalman criteria of contro...

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Detalhes bibliográficos
Autor principal: Pawuszewicz, E. (author)
Outros Autores: Torres, D.F.M. (author)
Formato: article
Idioma:eng
Publicado em: 1000
Assuntos:
Texto completo:http://hdl.handle.net/10773/4115
País:Portugal
Oai:oai:ria.ua.pt:10773/4115
Descrição
Resumo:We show how a linear control systems theory for the backward nabla differential operator on an arbitrary time scale can be obtained via Caputo's duality. More precisely, we consider linear control systems with outputs defined with respect to the backward jump operator. Kalman criteria of controllability and observability, as well as realisability conditions, are proved. © 2010 Taylor & Francis.