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Robust Stability Testing of Time-Delay Bilinear Systems with Nonlinear Norm-Bounded Uncertainties

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Recent Developments in Mechatronics and Intelligent Robotics (ICMIR 2017)

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 691))

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Abstract

Here, the stability test criteria for bilinear systems subjected to nonlinear norm-bounded uncertainties and non-commensurate time delays is treated. By using differential inequality techniques, we develop two sufficient robust stability testing conditions for assuring the above systems are robustly stable. Moreover, the decay rate of the aforementioned systems is also measured.

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Authors and Affiliations

  1. Cheng-Shiu University, Kaohsiung, Taiwan

    Chien-Hua Lee

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  1. Chien-Hua Lee
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Correspondence to Chien-Hua Lee .

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Editors and Affiliations

  1. Shenyang Jianzhu University , Shenyang, China

    Feng Qiao

  2. SOA University , Bhubaneswar, India

    Srikanta Patnaik

  3. Montclair State University , Montclair, New Jersey, USA

    John Wang

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Lee, CH. (2018). Robust Stability Testing of Time-Delay Bilinear Systems with Nonlinear Norm-Bounded Uncertainties. In: Qiao, F., Patnaik, S., Wang, J. (eds) Recent Developments in Mechatronics and Intelligent Robotics. ICMIR 2017. Advances in Intelligent Systems and Computing, vol 691. Springer, Cham. https://doi.org/10.1007/978-3-319-70990-1_31

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  • DOI: https://doi.org/10.1007/978-3-319-70990-1_31

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-70989-5

  • Online ISBN: 978-3-319-70990-1

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