Title: Absolute stability analysis of neutral type Lurie system with unbounded distributed delay and interval time-varying probabilistic delay

Authors: Pankaj Mukhija; Indra Narayan Kar; Rajendra Kumar Purushottam Bhatt

Addresses: Department of Electrical Engineering, Indian Institute of Technology Delhi, Delhi-110016, India ' Department of Electrical Engineering, Indian Institute of Technology Delhi, Delhi-110016, India ' Department of Electrical Engineering, Indian Institute of Technology Delhi, Delhi-110016, India

Abstract: In this paper, a novel stability criterion for the absolute stability of neutral type Lurie system with unbounded distributed and interval time-varying delay is proposed. The delay range is divided into two segments for stability analysis. The probability distribution of interval time-varying delay in the two segments is assumed to be known a priori. A tighter bounding technique is developed for the integral terms arising in the derivative of Lyapunov-Krasovskii functional (LKF). This bounding technique along with the Wirtinger inequality is used to develop the absolute stability criteria in terms of linear matrix inequalities. The proposed stability analysis has been further extended to the robust absolute stability of uncertain Lurie system of neutral type with mixed delays. The effectiveness of the proposed approach has been illustrated through numerical examples.

Keywords: neutral systems; absolute stability; mixed delays; probabilistic delay; Wirtinger inequality; Lyapunov-Krasovskii functional; LKF; stability analysis; Lurie system; unbounded distributed delay; interval time-varying delay; linear matrix inequalities; LMI.

DOI: 10.1504/IJMIC.2014.059395

International Journal of Modelling, Identification and Control, 2014 Vol.21 No.1, pp.72 - 81

Published online: 07 Jun 2014 *

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