Sobre ciertas condiciones en las funciones de controles ui E L^2 ( 0 , t1 , R ) , i = 1 , , m y en las constantes a , b y bi E L^2 ( O , R^n ) que aparecen en la ecuación BBM demostraremos que el sistema es aproximadamente controlable en [0 , t1] si y solo si la siguiente condición algebraica es válida Rang[Bj] = gj donde B j actúa de R^m en R( Ej ) y gj es la multiplicidad del autovalor Lj ( Lj es el autovalor de -D ) .
sobre cierto condición en el función de control ui e L^2 ( 0 , t1 , R ) , i = 1 , , m y en el constante a , b y bi e L^2 ( o , R^n ) que aparecer en el ecuación BBM demostrar que el sistema ser aproximadamente controlable en [0 , tiz si y solo si el siguiente condición algebraica ser válido Rang[Bj] = gj donde B j actuar de R^m en R( Ej ) y gj ser el multiplicidad del autovalor Lj ( Lj ser el autovalor de -D ) .
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