- Tytuł:
- Numerical checking method for positive invariance of polyhedral sets for linear dynamical systems
- Autorzy:
-
Yang, H.
Hu, Y. - Powiązania:
- https://bibliotekanauki.pl/articles/200512.pdf
- Data publikacji:
- 2020
- Wydawca:
- Polska Akademia Nauk. Czytelnia Czasopism PAN
- Tematy:
-
positively invariant sets
linear system
polyhedral set
polyhedral cone
linear programming - Opis:
- Positively invariant sets play an important role in the theory and applications of dynamical systems. The stability in Lyapunov sense of equilibrium x = 0 is equivalent to the existence of the ellipsoidal positively invariant sets. The constraints on the state and control vectors of dynamical systems can be formulated as polyhedral positively invariant sets in practical engineering problems. Numerical checking method of positive invariance of polyhedral sets is addressed in this paper. The validation of the positively invariant sets can be done by solving LPs which can be easily implemented numerically. The effectiveness of the proposed checking method is illustrated by examples. Compared with the now existing algebraic methods, numerical checking method is attractive and, importantly, easy to be implemented.
- Źródło:
-
Bulletin of the Polish Academy of Sciences. Technical Sciences; 2020, 68, 3; 593-599
0239-7528 - Pojawia się w:
- Bulletin of the Polish Academy of Sciences. Technical Sciences
- Dostawca treści:
- Biblioteka Nauki
Artykuł