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Research Papers

Delayed-Decomposition Approach for Absolute Stability of Neutral-Type Lurie Control Systems With Time-Varying Delays

[+] Author and Article Information
Pin-Lin Liu

Department of Automation Engineering Institute
of Mechatronoptic System,
Chienkuo Technology University,
Changhua 500, Taiwan
e-mail: lpl@cc.ctu.edu.tw

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received July 23, 2014; final manuscript received February 2, 2015; published online April 6, 2015. Assoc. Editor: M. Porfiri.

J. Dyn. Sys., Meas., Control 137(8), 081002 (Aug 01, 2015) (12 pages) Paper No: DS-14-1299; doi: 10.1115/1.4029720 History: Received July 23, 2014; Revised February 02, 2015; Online April 06, 2015

The problem of absolute stability for a class of neutral-type Lurie control system with nonlinearity located in an infinite sector and in a finite one is investigated in this paper. Based on the delayed-decomposition approach (DDA), a new augmented Lyapunov functional is constructed and the delay dependent conditions for asymptotic stability are derived by applying an integral inequality approach (IIA) in terms of linear matrix inequalities (LMIs). Finally, numerical examples are provided to show that the proposed results significantly improve the allowed upper bounds of the delay size over some existing ones in the literature.

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Figures

Grahic Jump Location
Fig. 1

The simulation of the Example 2 for h = τ = 2.43 s

Grahic Jump Location
Fig. 2

The simulation of the Example 2 for h=τ=2.5 s

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