| Article ID: | iaor20162290 |
| Volume: | 77 |
| Issue: | 4 |
| Start Page Number: | 569 |
| End Page Number: | 577 |
| Publication Date: | Apr 2016 |
| Journal: | Automation and Remote Control |
| Authors: | Barkin A |
| Keywords: | programming: nonlinear, optimization, control |
In this paper, we propose a method for computing an estimate of the domain of attraction of a system containing time‐varying sector nonlinearity together with quadratic and cubic nonlinearities. The method is based on use of non‐symmetric Lyapunov functions combined with scanning the phase space in polar coordinates. Examples testifying to the efficiency of the new approach are presented.