A new design method to global asymptotic stabilization of strict-feedforward nonlinear systems with state and input delays

Mengmeng Jiang; Xiao Niu; Mengmeng Jiang; Xiao Niu

doi:10.3934/math.2024463

AIMS Mathematics

2024, Volume 9, Issue 4: 9494-9507. doi: 10.3934/math.2024463

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Research article

A new design method to global asymptotic stabilization of strict-feedforward nonlinear systems with state and input delays

Mengmeng Jiang ^,,
Xiao Niu

School of Mathematics Science, Liaocheng University, Shandong Province, China

Received: 05 January 2024 Revised: 05 March 2024 Accepted: 06 March 2024 Published: 07 March 2024
MSC : 34D20

This paper studies the global asymptotic stabilization problem of strict-feedforward nonlinear systems with state and input delays. We will first transform the considered system into an equivalent system by constructing the novel parameter-dependent state feedback controller and introducing the appropriate coordinate transformation. After that, the global asymptotic stability of the closed system is proved by giving the proper Lyapunov-Krasovskii functional and using the stability criterion of time-delay system.
- strict-feedforward nonlinear systems,
- delays in state and input,
- global asymptotic stabilization,
- state feedback,
- Lyapunov-Krasovskii functional method
Citation: Mengmeng Jiang, Xiao Niu. A new design method to global asymptotic stabilization of strict-feedforward nonlinear systems with state and input delays[J]. AIMS Mathematics, 2024, 9(4): 9494-9507. doi: 10.3934/math.2024463

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Abstract

This paper studies the global asymptotic stabilization problem of strict-feedforward nonlinear systems with state and input delays. We will first transform the considered system into an equivalent system by constructing the novel parameter-dependent state feedback controller and introducing the appropriate coordinate transformation. After that, the global asymptotic stability of the closed system is proved by giving the proper Lyapunov-Krasovskii functional and using the stability criterion of time-delay system.

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