| Article ID: | iaor201110205 |
| Volume: | 72 |
| Issue: | 10 |
| Start Page Number: | 2188 |
| End Page Number: | 2195 |
| Publication Date: | Oct 2011 |
| Journal: | Automation and Remote Control |
| Authors: | Goncharova V, Staritsyn V |
| Keywords: | differential equations, optimization |
An optimal control problem is considered for a system described by a differential equation with measures; a certain constraint is imposed on the total variation of controlmeasure. Involving the method of discontinuous time reparameterization, an interpretation is performed for the procedures of weak control variation in an auxiliary reduced problem, and new refinement methods are developed for impulsive processes. An example is provided.