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广义时滞系统稳定和镇定的严格线性矩阵不等式判据

张雪峰 潘红燕 薛定宇

沈阳大学学报(自然科学版)2017,Vol.29Issue(1):82-86,5.
沈阳大学学报(自然科学版)2017,Vol.29Issue(1):82-86,5.

广义时滞系统稳定和镇定的严格线性矩阵不等式判据

Strict LMIs Conditions for Stability and Stabilization of Singular Delay Systems

张雪峰 1潘红燕 1薛定宇2

作者信息

  • 1. 东北大学理学院, 辽宁 沈阳 110004
  • 2. 东北大学信息科学与工程学院, 辽宁 沈阳 110004
  • 折叠

摘要

Abstract

The stability and stabilization criteria of continuous singular delay systems are presented by strict linear matrix inequalities(LMIs).Strict LMIs admissibility criteria are presented including stability of singular delay systems.Two class of state feedback controllers are given to guarantee that the given singular delay system is admissible.In the considered LMIs criteria, only a positive definite matrix Q needed to be solved without involving additional matrices.For this reason, the merit of obtained LMIs criteria is that they simplify and improve the existing results.Numerical examples are given to verify the effectiveness of the criteria.

关键词

广义时滞系统/稳定性/镇定性/严格线性矩阵不等式

Key words

singular delay systems/stability/stabilization/strict LMIs

分类

信息技术与安全科学

引用本文复制引用

张雪峰,潘红燕,薛定宇..广义时滞系统稳定和镇定的严格线性矩阵不等式判据[J].沈阳大学学报(自然科学版),2017,29(1):82-86,5.

基金项目

国家自然科学基金资助项目(61673094). (61673094)

沈阳大学学报(自然科学版)

OACSTPCD

2095-5456

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