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

fYear

2012

fDate

13-15 June 2012

Firstpage

411

Lastpage

415

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;

fLanguage

English

Publisher

ieee

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

Type

conf

DOI

10.1109/INES.2012.6249869

Filename

6249869