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多时滞非线性中立型反馈系统的鲁棒稳定性
引用本文:李宏飞,罗学波.多时滞非线性中立型反馈系统的鲁棒稳定性[J].数学季刊,2006,21(3):416-422.
作者姓名:李宏飞  罗学波
作者单位:Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710072,China; Department of Mathematics,Yulin College,Yulin 719000,China
基金项目:Supported by the Foundation of the National Key Development Plan on Foundational Study(G1998030417) Supported by the Shaanxi Provincial Department of Education(06JK149)
摘    要:The stabilization of a class of neutral systems with multiple time-delays is considered. To stabilize the neutral system with nonlinear uncertainty, a state feedback control law via compound memory and memoryless feedback is derived. by constructed Lyapunov functional, delay-independent stability criteria are proposed that are sufficient to ensure a uniform asymptotic stability property. Finally, two concise examples are provided to illustrate the feasibility of our results.

关 键 词:中性系统  非线性不确定性  稳定性  存储反馈  Lyapunov泛函

The Robust Stabilizing Feedback for a Class of Nonlinear Uncertain Neutral Systems with Multiple Time Delays
LI Hong-fei,LUO Xue-bo.The Robust Stabilizing Feedback for a Class of Nonlinear Uncertain Neutral Systems with Multiple Time Delays[J].Chinese Quarterly Journal of Mathematics,2006,21(3):416-422.
Authors:LI Hong-fei  LUO Xue-bo
Abstract:The stabilization of a class of neutral systems with multiple time-delays is considered. To stabilize the neutral system with nonlinear uncertainty, a state feedback control law via compound memory and memoryless feedback is derived. by constructed Lyapunov functional, delay-independent stability criteria are proposed that are sufficient to ensure a uniform asymptotic stability property. Finally, two concise examples are provided to illustrate the feasibility of our results.
Keywords:neutral system  nonlinear uncertainty  robust stability  memory feedback  Lyapunov functional
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