DocumentCode :
3627119
Title :
Stability, stabilization and observers of linear control systems on time scales
Author :
Zbigniew Bartosiewicz;Ewa Piotrowska;Malgorzata Wyrwas
Author_Institution :
Bia?ystok Technical University, Wiejska 45A, 15351, Poland
fYear :
2007
Firstpage :
2803
Lastpage :
2808
Abstract :
Linear control systems defined on arbitrary time scales are studied. It is shown that the classical results on stabilization and detectability for linear continuous-time and discrete-time systems can be extended to systems on arbitrary time scales. These results depend on the exponential stability criteria, which are different for different time scales. The set of exponential stability, which appears in these criteria, is studied. It is shown that it may be empty, which leads to some pathologies in the system behavior.
Keywords :
"Control systems","Stability criteria","Linear systems","Calculus","USA Councils","Pathology","Eigenvalues and eigenfunctions","Concrete","Cybernetics","Controllability"
Publisher :
ieee
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
ISSN :
0191-2216
Print_ISBN :
978-1-4244-1497-0
Type :
conf
DOI :
10.1109/CDC.2007.4434182
Filename :
4434182
Link To Document :
بازگشت