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

Liming Ding, Liqin Chen, Dajiang He () and Weiwei Xiang
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Liming Ding: School of Computer and Artificial Intelligence (School of Software), Huaihua University, 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
Weiwei Xiang: School of Computer and Artificial Intelligence (School of Software), Huaihua University, Huaihua 418008, China

Mathematics, 2022, vol. 10, issue 21, 1-13

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.

Keywords: stability analysis; neutral type; delay-partitioning method; Lyapunov-Krasovskii (LK) functional (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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