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Research Article | Open Access

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
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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.

Keywords

strict-feedforward nonlinear systemsdelays in state and inputglobal asymptotic stabilizationstate feedbackLyapunov-Krasovskii functional method
CLC number: 34D20

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 9494-9507
DOI: 10.3934/math.2024463

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Cite this article:
Jiang M, Niu X. A new design method to global asymptotic stabilization of strict-feedforward nonlinear systems with state and input delays. AIMS Mathematics, 2024, 9(4): 9494-9507. https://doi.org/10.3934/math.2024463

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Received: 05 January 2024
Revised: 05 March 2024
Accepted: 06 March 2024
Published: 15 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)