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

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 appr...

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Bibliographic Details
Main Authors: Mengmeng Jiang, Xiao Niu
Format: Article
Language:English
Published: AIMS Press 2024-03-01
Series:AIMS Mathematics
Subjects:
Online Access:https://aimspress.com/article/doi/10.3934/math.2024463?viewType=HTML
Description
Summary: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.
ISSN:2473-6988