Certain aspects of constructing the largest class of asymptotically convergent (stable) systems which surrounds a convergent system with nonlinearity and delays, and subject to large-parameter variations, are presented. Both the magnitude and computational efficiency of generating these results, which are based on the corresponding results from linear systems are presented. Here, three numerical examples, namely: (i) linear systems with linear multiple-parameter variations; (ii) nonlinear systems with linear multiple-parameter variations and multiple nonlinearities; and (iii) linear systems with multiple nonlinear-parameter variations, are given to show applications of the underlying results. These building-blocks examples can be assembled to solve a complicated nonlinear discrete-time system with delays involving all the above variations.