Two New Finite-time Convergence Criterions and Application to Solve Time Varying Sylvester Equation and Pseudo-inverse of a Matrix

被引：3

作者：

Miao, Peng ^{[1
]}

Fan, Liujun ^{[2
]}

Zhang, Daoyuan ^{[3
]}

机构：

[1] Zhengzhou Univ Sci & Technol, Dept Basic Courses, Zhengzhou 450064, Hennan, Peoples R China

[2] Zhengzhou Univ Sci & Technol, Sch Civil Engn & Architecture, Zhengzhou 450064, Hennan, Peoples R China

[3] Sun Yat Sen Univ Dongguan, Xinhua Coll, Sch Econ & Trade, Guangzhou 523133, Peoples R China

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2021年 / 19卷 / 04期

关键词：

Convergence criterion; differential equation; finite-time stable; neural network; time-varying Sylvester equation; pseudo-inverse of a matrix; STABILIZATION; SYSTEMS; STABILITY; DESIGN;

D O I：

10.1007/s12555-019-1043-z

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Based on the second order differential equation, this paper investigates finite-time stability, finite-time convergence criterions and estimates of convergence time. The main contributions of this paper lie in the fact that two new finite-time convergence criterions are proposed through the property of the second order differential equation and their upper bound of the convergence time is derived. In addition, our finite-time stability criterions are used to a recurrent neural network for solving time-varying Sylvester equation and Pseudo-Inverse of a Matrix. At last, a numerical example and a Pseudo-Inverse of a Matrix demonstrate the effectiveness of our method.

引用

页码：1570 / 1577

页数：8

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