Assume that the constraint qualification (1) is satisfied for h at x ∗.
Assume that the constraint of main lobe maintenance at time index t is (hat {mathbf {a}}left (t right)).
We assume that the constraint on the control is an obstacle such that K= bigl{ uin U: u x,t geq0, mbox{a.e. in } Omegatimes J bigr}.
In fact, we assume that the constraint G has the form G ( t, x, y ) = g ( A ( t ) x, B ( t ) y ), where g : R m × R s → R s is C ∞, and the square-matrix-valued maps A : R → O ( R m ) and B : R → GL ( R s ) are continuous.
The proposed method has a limitation: it assumes that the constraints are independent; however, biased measurements can violate this assumption.
Further, it is assumed that the constraints C 1 can be separated into two parts as shown in Eq. (5): C_{1} = C varTheta ) + D varPhi ) (5 For the computation of the forces of constraint Γ1, it is necessary to differentiate equation (5) twice with respect to time.
We assumed that the constraints on the HCNSs in the same bin (class of length) were equal.
Lemma 1. Assume that constraint (6) is added to the ILP formulation above.
This shows that assuming that the constraint is not saturated, the equations lead to.
