Technical communique: Improved delay-range-dependent stability criteria for linear systems with time-varying delays

Authors:
Jian Sun;G. P. Liu;Jie Chen;D. Rees
Affiliations:
School of Automation, Beijing Institute of Technology, Beijing 100081, China and Faculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, UK;Faculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, UK and CTGT Center in Harbin Institute of Technology, Harbin 150001, China;School of Automation, Beijing Institute of Technology, Beijing 100081, China;Faculty of Advanced Technology, University of Glamorgan, Pontypridd CF37 1DL, UK
Venue:
Automatica (Journal of IFAC)
Year:
2010

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Abstract

This paper is concerned with the stability analysis of linear systems with time-varying delays in a given range. A new type of augmented Lyapunov functional is proposed which contains some triple-integral terms. In the proposed Lyapunov functional, the information on the lower bound of the delay is fully exploited. Some new stability criteria are derived in terms of linear matrix inequalities without introducing any free-weighting matrices. Numerical examples are given to illustrate the effectiveness of the proposed method.