# Projects

**Controllability of the dynamical systems**

Supervisor: doc. Mgr. Róbert Vrábeľ, PhD.

Basic information | Workers |

This page shows details on the project. The primary projects are displayed together with a list of sub-projects.

Project description: | We will consider a (global) controllability of the nonlinear dynamical systems of the form x’(t)=f(x(t))+Bu(t)+w(t) on the interval of finite length, where x is n-dimensional state vector, u is m-dimensional control input and the vector w represents disturbances; f is a continuous vector function and B is nxm constant matrix. In terms of nonlinear system controllability, one of the most important results in this field derived by E.B.Lee and L.Markus states that if a linearized system at (0,0) x‘=Ax+Bu is controllable, then there exists a local controllable area of the original system x‘=f(x,u) around the equilibrium (0,0). This fact is also true in the case when the linearized system is time-varying, but with complicated way to check its controllability. Another drawback of linearization is that the results are formulated only locally. So, the main objective of the project will be to derive a criterion for assessing the (global) controllability of nonlinear systems described above. |

Kind of project: | VEGA () |

Department: | Institute of Applied Informatics, Automation and Mechatronics (MTF) |

Project identification: | 1/0127/18 |

Project status: | Not approved |

Project start date : | 01. 01. 2018 |

Project close date: | 31. 12. 2020 |

Number of workers in the project: | 6 |

Number of official workers in the project: | 6 |

**Official project workers**

The following table shows the researcher workers who have been assigned official roles in a project.

Officer | Official roles |
---|---|

Bc. Alena Micháliková | administrátor |

doc. Mgr. Róbert Vrábeľ, PhD. | zodpovedný riešiteľ |

Mgr. Vladimír Liška, PhD. | spoluriešiteľ |

RNDr. Renáta Masárová, PhD. | spoluriešiteľ |

doc. Ing. German Michaľčonok, CSc. | spoluriešiteľ |

Mgr. Zuzana Šutová, PhD. | spoluriešiteľ |