A Sufficient Condition for Arbitrary Eigenvalue Assignment in Linear Descriptor Systems by Output Feedback

作者：Zhang Biao^*

来源：IEEE Transactions on Automatic Control, 2013, 58(8): 2060-2064.

DOI：10.1109/TAC.2013.2268204

• Closed-loop regularity
• eigenvalue assignment
• linear descriptor systems
• output feedback

The problem of eigenvalue assignment in the linear descriptor system E ($) over circlex = Ax + Bu, y= Cx via output feedback is considered. It is shown that mp > rank(E) (m and p are respectively the numbers of inputs and outputs of the system) is a sufficient condition for generic real output feedback eigenvalue assignability. The result is the best possible for general m, p, rank(E). In general, the assignment is achieved not in an exact sense, but in arbitrarily small neighborhoods around a given set of eigenvalues.

• 出版日期2013-8
• 单位哈尔滨工业大学