Adaptive estimation of variable weights in a linear adder

We consider the adaptive estimation problem for variable weights in a linear adder from known values of a scalar function. We further develop an adaptive identification algorithm for static systems. We obtain a nonlinear adaptive estimation algorithm based on correcting prior values of variable weights. In special cases, we establish conditions for the existence of a solution in the estimation problem. We demonstrate the efficiency of the proposed nonlinear adaptive estimation algorithm for variable weights in a linear adder with an example.