### Abstract

The logic-dynamical hybrid system given by a set of subsystems which are linear differential-difference equations with constant coefficients and constant delay is investigated in the paper. The estimations of disturbances of such system are obtained. We consider the cases of stable and unstable subsystems. Besides the estimations of solutions of hybrid system given by a set of scalar subsystems are obtained.

Original language | Undefined |
---|---|

Pages (from-to) | 169-186 |

Number of pages | 18 |

Journal | Nonlinear dynamics and systems theory |

Volume | 7 |

Issue number | LNCS4549/2 |

Publication status | Published - 2007 |

### Keywords

- MSC-34K06
- MSC-34K20
- differential-difference equation
- METIS-241872
- MSC-34O20
- Hybrid System
- stable system
- IR-61899
- Lyapunov-Krasovsky functional
- EWI-10983

## Cite this

Martynyuk, A. A. (Ed.), Khusainov, D., Langerak, R., & Kuzmych, O. (2007). Estimations of solutions convergence of hybrid systems consisting of linear equations with delay.

*Nonlinear dynamics and systems theory*,*7*(LNCS4549/2), 169-186.