New results on finite‐time stability and H∞$$ {H}_{\infty } $$ control for nonlinear Hamiltonian systems-Reference-Cited by-同舟云学术

New results on finite‐time stability and H∞$$ {H}_{\infty } $$ control for nonlinear Hamiltonian systems

Published:2023-10-23 Issue: Volume: Page:
ISSN:1561-8625
Container-title:Asian Journal of Control
language:en
Short-container-title:Asian Journal of Control

Author:

Chen Yufei¹^ORCID,Liu Qihuai²³^ORCID,Zhou Xia²^ORCID

Affiliation:

1. School of Computer Science and Information Security Guilin University of Electronic Technology Guilin China

2. School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation Guilin University of Electronic Technology Guilin China

3. Center for Applied Mathematics of Guangxi Guilin University of Electronic Technology Guilin China

Abstract

AbstractIn this paper, we investigate the finite‐time stability (FTS) and control of nonlinear Hamiltonian systems with time‐varying state delays and output delays subject to input saturation. By introducing a new class of Lyapunov–Krasovskii (L‐K) functionals and the assumption about the Hamiltonian function, we present a delay‐dependent FTS criterion. Then, a finite‐time feedback control is designed for the nonlinear Hamiltonian systems. Finally, the validity of the proposed results is demonstrated by a numerical example.

Publisher

Wiley

Subject

Control and Systems Engineering,Electrical and Electronic Engineering,Mathematics (miscellaneous)

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/asjc.3253

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