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Sandwich control systems with impulse time windows

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Abstract

In this paper, we formulate a new system, named by sandwich control system with impulse time windows. The present system is a cyclic control system, composed of three parts in a round: the first and last parts are continuous subsystems, while the middle one includes an impulsive operation. Different from the most existing results for impulsive systems, we assume that the impulse moments are unknown but limited to certain intervals (namely, impulse time windows). We then study the stability of the considered systems and obtain an exponential stability criterion in terms of a set of linear matrix inequalities. As a numerical example, Chua oscillator is stabilized by the proposed method.

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Acknowledgments

This research is supported by the Natural Science Foundation of China (Grant No. 61374078), NPRP Grant # NPRP 4-1162-1-181 from the Qatar National Research Fund (a member of Qatar Foundation), Scientific and Technological Research Foundation of Chongqing Municipal Education Commission (Grant No. KJ1401010), the Fundamental Research Funds for the Central Universities (Grant No. XDJK2015D004) and Key Program of Chongqing Three Gorges University (Grant No. 14ZD18).

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Authors and Affiliations

  1. Chongqing Key Laboratory of Nonlinear Circuits and Intelligent Information Processing, College of Electronic Information Engineering, Southwest University, Chongqing, 400715, People’s Republic of China

    Yuming Feng & Chuandong Li

  2. Key Laboratory of Nonlinear Science and System Structure, School of Mathematics and Statistics, Chongqing Three Gorges University, Wanzhou, Chongqing, 404100, People’s Republic of China

    Yuming Feng

  3. Department of Mathematics, Texas A&M University at Qatar, P.O. Box 23874, Doha, Qatar

    Tingwen Huang

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  1. Yuming Feng
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  2. Chuandong Li
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Correspondence to Chuandong Li.

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The authors declare that they have no competing interests.

Authors’ contributions

C. Li has proposed the ideal of sandwich control. Y. Feng has proved the main theory and prepared the paper with latex. T. Huang has provided all the figures of the paper. All authors read and approved the final manuscript.

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Feng, Y., Li, C. & Huang, T. Sandwich control systems with impulse time windows. Int. J. Mach. Learn. & Cyber. 8, 2009–2015 (2017). https://doi.org/10.1007/s13042-016-0580-5

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  • DOI: https://doi.org/10.1007/s13042-016-0580-5

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