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Null controllability criterion for discrete nonlinear systems with distributed delays in the control: A fixed point approach
In this work, we consider null controllability results of the base system x(t) = A(t)χ(t) + Σi=0k Bi(t)μ(t-hi), k = 0,1,2...
and its perturbed equivalence
x(t) = A(t)x(t) + Σi=0k Bi(t)μ(t-hi) +f (t,x,u)
The non-singularity of the controllability gramian, the properness of the differential system and the Schauder's Fixed Point Theorem are veritable tools used to obtain results.
Journal of the Nigerian Association of Mathematical Physics Vol. 9 2005: pp. 247-254