Numerical examples for the convergent robustness measures in nonlinear discrete-time systems

Certain aspects of constructing the largest class of asymptotically convergent (stable) systems which surrounds a convergent nonlinear system are presented. This study is also known as absolute stability or a sector problem. We present three numerical examples to show the applications of these results, namely, in: (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. These building-blocks examples can be assembled to solve a complicated nonlinear system with multiple nonlinear parameter variations