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Numerical Algorithms
Erschienen in: Numerical Algorithms 4/2021

10.07.2020 | Original Paper

Continuous and discrete zeroing dynamics models using JMP function array and design formula for solving time-varying Sylvester-transpose matrix inequality

verfasst von: Yunong Zhang, Xiao Liu, Yihong Ling, Min Yang, Huanchang Huang

Erschienen in: Numerical Algorithms | Ausgabe 4/2021

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Abstract

Zeroing dynamics (ZD) has shown great performance to solve various time-varying problems. In this paper, the problem of time-varying Sylvester-transpose matrix inequality is first investigated. Since it is difficult to solve a matrix inequality with a matrix variable and its transpose by traditional methods, this paper proposes a continuous ZD (CZD) model by employing ZD design formula and JMP function array to solve this challenging problem. Furthermore, for better implementation on digital computers, three discrete ZD (DZD) models are proposed by using three different discretization formulas with different precision, i.e., the Euler-forward formula, the 6-instant Zhang et al discretization (ZeaD) formula and the 7-instant ZeaD formula. What is more, theoretical truncation error analyses and numerical experiments substantiate the convergence, efficacy and superiority of the DZD models for solving time-varying Sylvester-transpose matrix inequality.
Vorheriger Artikel Proximal point algorithms based on S-iterative technique for nearly asymptotically quasi-nonexpansive mappings and applications
Nächster Artikel Analysis of optimal superconvergence of the local discontinuous Galerkin method for nonlinear fourth-order boundary value problems

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Metadaten
Titel
Continuous and discrete zeroing dynamics models using JMP function array and design formula for solving time-varying Sylvester-transpose matrix inequality
verfasst von
Yunong Zhang
Xiao Liu
Yihong Ling
Min Yang
Huanchang Huang
Publikationsdatum
10.07.2020
Verlag
Springer US
Erschienen in
Numerical Algorithms / Ausgabe 4/2021
Print ISSN: 1017-1398
Elektronische ISSN: 1572-9265
DOI
https://doi.org/10.1007/s11075-020-00946-1

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