Absolute Stability Analysis of Neutral Lurie Systems with Time Delays

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Absolute Stability Analysis of Neutral Lurie Systems with Time Delays

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[1]GAO Qian,LIU De-you,ZHU Zuo-jian,et al.Absolute Stability Analysis of Neutral Lurie Systems with Time Delays[J].Journal of Zhengzhou University (Engineering Science),2013,34(04):45-49.[doi:10.3969/j.issn.1671-6833.2013.04.011]

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Journal of Zhengzhou University (Engineering Science)[ISSN 1671-6833/CN 41-1339/T] Volume: 34 Number of periods: 2013 04 Page number: 45-49 Column: Public date: 2013-09-09

Title:: Absolute Stability Analysis of Neutral Lurie Systems with Time Delays

Author(s):: GAO Qian1; LIU De-you1; ZHU Zuo-jian1; GAO Jin-lan2; 1.Colleze of Science，Yanshan University , Qinhuangdao 066004, China;2.College of Electrical Engineering，Northeast Petroleum University，Daqing 163318，China

Keywords:: Lurie control system; delay dependent stability ; neutral delay; linear matrix inequality

CLC:: TP183

DOI:: 10.3969/j.issn.1671-6833.2013.04.011

Abstract:: The absolute stability problem for neutral Lurie control systems with time delays is studied.By di-viding the discrete delay interval into multiple segments and choosing proper Lyapunov -Krasovski functions,two delay-dependent criteria for absolute stability of systems in infinite sector and finite sector were respectivelyderived.The derived stability criteria were both discrete delay dependent and neutral delay dependent. Theproposed condition was in terms of a linear matrix inequality which can be easily solved with Matlab toolbox.Finally，numerical example demonstrates the validity and feasibility of the proposed criteria.

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