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New Delay-Partitioning LK-Functional for Stability Analysis with Neutral Type Systems

Author

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  • Liming Ding

    (School of Computer and Artificial Intelligence (School of Software), Huaihua University, Huaihua 418008, China
    Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418008, China)

  • Liqin Chen

    (School of Information and Electrical Engineering, Hunan University of Science and Technology, Xiangtan 411201, China)

  • Dajiang He

    (Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418008, China
    College of Electrical and Information Engineering, Huaihua University, Huaihua 418008, China)

  • Weiwei Xiang

    (School of Computer and Artificial Intelligence (School of Software), Huaihua University, Huaihua 418008, China
    Key Laboratory of Intelligent Control Technology for Wuling-Mountain Ecological Agriculture in Hunan Province, Huaihua 418008, China)

Abstract

This paper investigates the stability issues associated with neutral-type delay systems. Firstly, the delay-partitioning method is employed to construct a brand-new LK-functional candidate. The discrete delay and a neutral delay are divided into several piecewise points through a relaxable sequence of constant numbers, are increasing at a steady rate and are not larger than 1. Secondly, to fully use the interconnection information among the delayed state vectors, a new LK-functional is constructed. Thirdly, the recently published single/multiple integral inequalities are employed to bound the derivative of the newly developed LK function. Finally, a novel stability criterion for neutral systems is developed based on the above treatment. Furthermore, a new corollary is also proposed for the condition of τ = h . The benefits and productivities of our method are demonstrated by numerical examples.

Suggested Citation

  • Liming Ding & Liqin Chen & Dajiang He & Weiwei Xiang, 2022. "New Delay-Partitioning LK-Functional for Stability Analysis with Neutral Type Systems," Mathematics, MDPI, vol. 10(21), pages 1-13, November.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:4119-:d:963559
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    References listed on IDEAS

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    1. Liu, Xin-Ge & Wu, Min & Martin, Ralph & Tang, Mei-Lan, 2007. "Delay-dependent stability analysis for uncertain neutral systems with time-varying delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 75(1), pages 15-27.
    2. Qian, Wei & Liu, Juan & Sun, Youxian & Fei, Shumin, 2010. "A less conservative robust stability criteria for uncertain neutral systems with mixed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 80(5), pages 1007-1017.
    3. de Oliveira, Fúlvia S.S. & Souza, Fernando O., 2020. "Further refinements in stability conditions for time-varying delay systems," Applied Mathematics and Computation, Elsevier, vol. 369(C).
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