Necessary and Sufficient Conditions for the Positive Definiteness and Stability of Symmetric Interval Matrices

摘要：

This paper considers the positive definiteness and stability of symmetric interval matrices. The concepts of variable nonnegative quadratic forms and intermediate separate combination are introduced, and sufficient condition for the positive definiteness of variable nonnegative quadratic forms is derived. They are applied to the positive definiteness problems of symmetric interval matrices so that necessary and sufficient conditions for the positive definiteness of symmetric interval matrices are derived. Based on some properties of positive definite matrices, necessary and sufficient conditions for the stability of symmetric interval matrices are proposed. Some examples are given to demonstrate the applicability of the derived results.

关键词： Symmetric interval matrices Positive definiteness Stability Intermediate separate combination

作者: Wei Liu

作者单位: School of Electronic and Information Engineering, University of Science and Technology Liaoning, Anshan 114051, China

会议类型: 国际会议

会议名称: 2009年中国控制与决策会议(2009 Chinese Control and Decision Conference)

会议地点: 广西桂林

会议语种:英文

页码: 4574-4579

在线出版日期: 2009-06-17（万方平台首次上网日期，不代表论文的发表时间）