Title :
LMI approach to non-Lyapunov stability of discrete descriptor time delay systems
Author :
Debeljkovic, D. Lj ; Buzurovic, I.M. ; Stojanovic, S.B. ; Nestorovic, T.
Author_Institution :
Sch. of Mech. Eng., Univ. of Belgrade, Belgrade, Serbia
Abstract :
The article provides sufficient conditions for the practical and finite time stability of linear singular continuous time delay systems fulfilling the following formulation: Ex(k+1)=A0x(k)+A1x(k-1). Analyzing the finite time stability concept, novel delay independent conditions have been presented. The conditions were derived using the linear matrix inequality (LMI) approach. The LMI method was based on the analysis of the Lyapunov-like functions and their properties within the subspace of consistent initial conditions. A novel sufficient delay-dependent criterion for the finite time stability based on the LMI approach has been established.
Keywords :
delay systems; discrete systems; linear matrix inequalities; stability; LMI approach; Lyapunov-like functions; delay independent conditions; discrete descriptor time delay systems; finite time stability; linear matrix inequality; linear singular continuous time delay systems; non-Lyapunov stability; sufficient conditions; sufficient delay-dependent criterion; Delay effects; Educational institutions; Eigenvalues and eigenfunctions; Power system stability; Stability criteria; Vectors;
Conference_Titel :
Intelligent Engineering Systems (INES), 2012 IEEE 16th International Conference on
Conference_Location :
Lisbon
Print_ISBN :
978-1-4673-2694-0
Electronic_ISBN :
978-1-4673-2693-3
DOI :
10.1109/INES.2012.6249869
