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Hysteresis-Based Switching Design for Stabilization of Switched Linear Neutral Systems

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Abstract

The paper studies the problem of asymptotically stabilizing a class of switched linear neutral systems, where none of the individual subsystems is stabilizable. A co-design of a set of candidate controllers and a hysteresis-based switching strategy is developed to achieve asymptotic stability of the closed-loop switched neutral systems. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.

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Acknowledgments

This work was supported by the National Nature Science Foundation of China under Grants 61503041 and 61473063.

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Authors and Affiliations

  1. College of Engineering, Bohai University, Jinzhou, 121013, China

    Tai-Fang Li

  2. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110189, China

    Jun Fu

  3. Department of Mechanical Engineering, Massachusetts Institute of Technology (MIT), Cambridge, MA, 02139, USA

    Jun Fu

  4. College of Mathematics and Physics, Bohai University, Jinzhou, 121013, China

    Ben Niu

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  1. Tai-Fang Li
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  2. Jun Fu
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Correspondence to Tai-Fang Li.

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Li, TF., Fu, J. & Niu, B. Hysteresis-Based Switching Design for Stabilization of Switched Linear Neutral Systems. Circuits Syst Signal Process 36, 359–373 (2017). https://doi.org/10.1007/s00034-016-0294-7

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  • DOI: https://doi.org/10.1007/s00034-016-0294-7

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