Vol.2, No 8, 1998 pp. 715 - 728
UDC: 621.3.016.532:62-52.
LYAPUNOV STABILITY ROBUSTNESS CONSIDERATION
FOR LINEAR SINGULAR SYSTEMS:
NEW RESULTS
K. V. Đurović 1, D. Lj. Debeljković 1, S.
A. Milinković 2, M. B. Jovanović 2
1 Faculty of Mechanical Engineering, Department of Control
Eng., 27 marta 80, Belgrade, Yugoslavia
2 Faculty of Technology and Metallurgy, University of Belgrade,
Karnegijeva 4, Belgrade, Yugoslavia
Abstract. In this paper, the stability robustness of particular
class of linear systems in the time domain, is addressed using the Lyapunov
approach. The bounds of unstructured perturbation vector function, that
maintain the stability of the nominal system with attractivity property
of subclass of solutions are obtained both for regular and irregular linear
singular systems.
Key words. Generalized state-space systems, attraction property,
Lyapunov stability, robustness.
LJAPUNOVSKA ROBUSTNOST STABILNOSTI LINEARNIH
SINGULARNIH SISTEMA: NOVI REZULTATI
U ovom radu razmatrana je osobina privlačenja nultog ravnotežnog stanja
linearnog singularnog sistema i pripadajuća osobina robusnosti u odnosu
na linearne nestrukturne perturbacije. Izvedene i dokazane teoreme predstavljaju
znatno proširenje rezultata do kojih su autori došli ranije, a istovremeno
jasno ukazuju na široke mogućnosti primene postojećih rezultata na analizu
robusnosti stabilnosti razmatrane klase sistema.
