Vol.1, No 10, 2003 pp. 1311 - 1315
UDC 681.51:519.718
DISCRIPTOR TIME DELAYED SYSTEM STABILITY
THEORY IN THE SENSE OF LYAPUNOV: NEW RESULTS
D. Lj. Debeljković1, S. B. Stojanović2,
M. B. Jovanović3, S. A. Milinković3
1University of Belgrade, Faculty of
Mechanical Eng, Dept. of Control Eng.,
11000 Belgrade, Serbia and Montenegro
2University of Niš, Faculty of Technology,
Bulevar Oslobodjenja 124,
16000 Leskovac, Serbia and Montenegro
3University of Belgrade, Faculty of
Metallurgy and Technology,
11000 Belgrade, Serbia and Montenegro
E-mail: ddebeljkovic@mas.bg.ac.yu
Abstract. This paper extends one of the basic results in the area
of Lyapunov (asymptotic) to linear, continuous singular time invariant
time-delay systems. This result is given in the form of only sufficient
conditions and is related to the following class of systems .
Our aim is to derive new and efficient results concerning asymptotic
stability of a particular class of linear continuous singular time delay
systems.
To the best knowledge of the authors, such result have not yet been
reported.
TEORIJA STABILNOSTI DESKRIPTIVNIH SISTEMA
SA KAŠNJENJEM U SMISLU LJAPUNOVA: NOVI REZULTATI
Ovaj rad proširejuje bazične rezultate iz asimptotske teorije stabilnosti
u smislu Ljapunova na posebnu klasu vremenski neprekidnih deskriptivnih
sistema sa čistim vremenskim kašnjenjem. Izvedeni rezultati dati su u formi
samo dovoljnih uslova i odnose se na klasu sistema opisanih u prostoru
stanja svojim modelom tipa: .Cilj rada je bio da se izvedu novi i
efikasni rezultati koji se tiču asimptotske stabilnosti ove klase sistema.
Po saznanjima autora, ovakvi rezultati, nisu do sada objavljeni.