English

The construction of the program control with probability one for stochastic dynamic systems with jumps

Dynamical Systems 2012-01-17 v1

Abstract

Investigate the stochastic dynamic non-linear system with the Wiener and the Poisson perturbations. For such systems we construct the program control with probability one, which allows this system to move on the given trajectory. In this case the control program is solution of the algebraic system of linear equations. Considered algorithm is based on the first integral theory for stochastic differential equations system.

Keywords

Cite

@article{arxiv.1201.3007,
  title  = {The construction of the program control with probability one for stochastic dynamic systems with jumps},
  author = {Elena Karachanskaya},
  journal= {arXiv preprint arXiv:1201.3007},
  year   = {2012}
}

Comments

14 pages, in English

R2 v1 2026-06-21T20:04:35.661Z