| Article ID: | iaor20116903 |
| Volume: | 72 |
| Issue: | 6 |
| Start Page Number: | 1258 |
| End Page Number: | 1263 |
| Publication Date: | Jun 2011 |
| Journal: | Automation and Remote Control |
| Authors: | Sidorov N, Sidorov A |
| Keywords: | programming: nonlinear, programming: dynamic, heuristics |
We consider generalized solutions of polynomial integral Volterra equations of the first kind that arise in a control problem for nonlinear dynamical processes of the ‘input‐output’ type. We prove the existence theorem and propose a method for constructing generalized solutions. We establish that the number of solutions equals the number of roots of a certain polynomial.