Nonnegativity,stability analysis of linear discrete-time positive descriptor systems: an optimization approach

H.YANG; M.ZHOU; M.ZHAO

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Nonnegativity,stability analysis of linear discrete-time positive descriptor systems: an optimization approach

机译：线性离散时间阳性描述符系统的非空间，稳定性分析：优化方法

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摘要

This paper discusses an efficient approach to the analysis of positivity and stability of linear discrete-time positive descriptor system.Irs main objective is to convert the necessary and sufficient condition of characterizing positivity and stability of positive descriptor systems into an optimization problem,then propose a method to numerically check the positivity and stability of the positive linear discrete-time systems.Comparing with the other methods now available,the approach presented in this paper is less theoretical and easier to implement.Examples are provided in order to validate results.

机译：本文讨论了一种分析线性离散时间正广义系统正性和稳定性的有效方法。Irs的主要目标是将描述正广义系统正性和稳定性的充要条件转化为优化问题，然后提出一种数值检验正线性离散时间系统正性和稳定性的方法。与现有的其他方法相比，本文提出的方法理论性较差，易于实现。为了验证结果，提供了示例。

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《Bulletin of the Polish Academy of Sciences. Technical Sciences》 |2018年第1期|共7页
作者
H.YANG; M.ZHOU; M.ZHAO;
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作者单位

Mathematics Department of Shandong University of Science and Technology 266590 Qingdao Shandong China;

Mathematics Department of Shandong University of Science and Technology 266590 Qingdao Shandong China;

Mathematics Department of Shandong University of Science and Technology 266590 Qingdao Shandong China;

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正文语种 eng
中图分类一般工业技术;年鉴、年刊;
关键词
descriptor systems; positive systems; positivity; stability; optimization;

机译：描述符系统;正系统;积极性;稳定性;优化;

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9. Linear matrix inequality approach to selected problems in analysis, estimation and control of discrete-time systems. [D] . Mohseni, Mohammad Jafar. 1997

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Nonnegativity,stability analysis of linear discrete-time positive descriptor systems: an optimization approach

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