- Tytuł:
- Constrained controllability of second order dynami cal systems with delay
- Autorzy:
- Klamka, J.
- Powiązania:
- https://bibliotekanauki.pl/articles/205540.pdf
- Data publikacji:
- 2013
- Wydawca:
- Polska Akademia Nauk. Instytut Badań Systemowych PAN
- Tematy:
-
controllability
second-order dynamical systems
delayed control systems
semilinear control systems
constrained controls - Opis:
- The paper considers finite-dimensional dynami cal control systems described by second order semilinear stationary ordinary differential state equations with delay in control. Using a generalized open mapping theorem, sufficient conditions for constrained local controllability in a given time interval are formulated and proved. These conditions require verification of constrained global controllability of the associated linear first-order dynamical control system. It is generally assumed that the values of admissible controls are in a convex and closed cone with vertex at zero. Moreover, several remarks and comments on the existing results for controllability of semilinear dynamical control systems are also presented. Finally, a simple numerical example which illustrates theoretical considerations is also given. It should be pointed out that the results given in the paper extend for the case of semilinear second-order dynamical systems constrained controllability conditions, which were previously known only for linear second-order systems.
- Źródło:
-
Control and Cybernetics; 2013, 42, 1; 111-121
0324-8569 - Pojawia się w:
- Control and Cybernetics
- Dostawca treści:
- Biblioteka Nauki
Artykuł