Title :
Lyapunov stability theory: a quite new approach - discrete descriptive time delayed system
Author :
Debeljkovic, D.Lj. ; Stojanovic, S.B. ; Visnjic, N.S. ; Milinkovic, S.A.
Author_Institution :
Dept. of Control Eng., Belgrade Univ.
Abstract :
This paper gives sufficient conditions for the stability of linear singular discrete delay systems of the form Ex(k + 1) = A0x(k) + A1x(k - 1). These new, delay-independent sufficient conditions are derived using approach based on Lyapunov´s direct method. A numerical example has been working out to show the applicability of results derived
Keywords :
Lyapunov methods; control system analysis; delay systems; delays; discrete systems; linear systems; stability; Lyapunov direct method; Lyapunov stability theory; descriptive system; linear singular discrete delay systems; time delayed system; Chemical processes; Computer science; Control systems; Delay effects; Delay systems; Differential equations; Lyapunov method; Robust stability; Sufficient conditions; Transmission lines;
Conference_Titel :
American Control Conference, 2006
Conference_Location :
Minneapolis, MN
Print_ISBN :
1-4244-0209-3
Electronic_ISBN :
1-4244-0209-3
DOI :
10.1109/ACC.2006.1657530