Article citationsMore >>

Feng, H.H., Hunsarg, J., “Stabilization of Nonlinear Singularly Perturbed Multiple Time Delay Systems by Dither”, Trans. ASME J. of Dynamic Systems, Measurement and Control, 118 (3). 177-181. 1996.

has been cited by the following article:

Article

Further Results on Stability of Singular Time Delay Systems in the Sense of Non-Lyapunov: A New Delay Dependent Conditions

1Department of Control Eng., University of Belgrade, School of Mechanical Engineering, Belgrade, Serbia

2Faculty of Technology, University of Nis, Serbia

3University of Belgrade, School of Mechanical Engineering, Innovation Centre, Belgrade, Serbia


Automatic Control and Information Sciences. 2014, Vol. 2 No. 1, 13-19
DOI: 10.12691/acis-2-1-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Dragutin Lj. Debeljkovic, Sreten B. Stojanovic, Goran V. Simeunovic, Nebojsa J. Dimitrijevic. Further Results on Stability of Singular Time Delay Systems in the Sense of Non-Lyapunov: A New Delay Dependent Conditions. Automatic Control and Information Sciences. 2014; 2(1):13-19. doi: 10.12691/acis-2-1-3.

Correspondence to: Dragutin  Lj. Debeljkovic, Department of Control Eng., University of Belgrade, School of Mechanical Engineering, Belgrade, Serbia. Email: ddebeljkovic@yahoo.com

Abstract

In this paper, we consider the problem of finite-time stability of a class of linear singular continuous time delay systems. By using Lyapunov-like functional with time-delay, new delay-dependent stability condition has been derived in terms of matrix inequality such that the system under consideration is regular, impulse free and finite time stable. In the proposed stability criterion, Drazin inverse of a singular matrix is used.

Keywords