Linear Independency of Interval Vectors and Its Applications to Robust Controllability Tests
Hyo-Sung Ahn
Moore, K.L.
YangQuan Chen
Student Member, IEEE, Center for Self-Organizing and Intelligent Systems (CSOIS), Dept. of Electrical and Computer Engineering, 4160 Old Main Hill, Utah State University, Logan, UT 84322-4160, USA. hyosung@cc.usu.edu, yqchen@ece.usu.edu;
Abstract
In this paper, we define linear dependency and independency of the interval vectors and present an effective method for checking the linear independency of interval vectors. As a possible application of the interval vectors to the robust control problem, the robust controllability and un-controllability problems of uncertain interval system are solved. Through the numerical examples and by comparing with the existing results, the superiority of our new robust controllability test method is presented.
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