By Topic

Delay-range-dependent stability criteria for Lur'e system with interval time-varying delay

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
K. Ramakrishnan ; Department of Electrical Engineering, Indian Institute of Technology, Kharagpur, West Bengal, INDIA ; G. Ray

In this paper, we investigate the problem of absolute stability and robust stability for a class of Lur'e systems with interval time-delay using Lyapunov-Krasovskii functional approach. By constructing a candidate Lyapunov-Krasovskii (LK) functional, delay-range-dependent stability criteria are developed for nominal and uncertain Lur'e systems in terms of linear matrix inequalities. For deriving robust stability conditions, time-varying norm-bounded uncertainties are considered in the system matrices. Conservatism in the proposed delay-dependent stability analysis is minimized through the use of a candidate LK functional, and tighter bounding conditions for dealing the cross-terms that emerge from the time-derivative of the functional. Finally, a numerical example is employed to validate the effectiveness of the proposed stability criteria.

Published in:

49th IEEE Conference on Decision and Control (CDC)

Date of Conference:

15-17 Dec. 2010