Constrained relative controllability of semilinear dynamical neutral systems with multiple delays in state and control.

Abstract

In this work, we study the semi linear dimensional abstract control neutral system with multiple constant delays in the state and control given by
ddt[x(t-h] = ∑^M_i-0 Ax(t-h_i) = F(x(t)) + ∑^M_i-0B_iu(t-h_i)
with zero initial conditions x(0) = 0, u(t) = 0 for t ∈ [-h,0]
where the state x(t) takes values in a real Banach space X and the control u(t) is in another real Banach space U.


JONAMP Vol. 11 2007: pp. 275-278