Null controllability criterion for discrete nonlinear systems with distributed delays in the control: A fixed point approach

Abstract

In this work, we consider null controllability results of the base system x(t) = A(t)_χ(t) + Σ_i=0^{k B_i(t)μ(t-h_i), k = 0,1,2...}

and its perturbed equivalence

x(t) = A(t)x(t) + Σ_i=0<sup>k B_i(t)μ(t-h_i) +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</sup>