Title of article :
Maximal perturbation bounds for robust -stability of matrix second-order systems with one-parameter perturbations
Author/Authors :
Lu، نويسنده , , Jun-Guo and Xiao، نويسنده , , Jizhong and Chen، نويسنده , , Weidong، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2012
Abstract :
In this paper, the robust α -stability problem of matrix second-order systems with perturbations in the form of a one-parameter family of matrices is investigated. All the system matrices, including the second-order differential coefficient matrices, are assumed to have such perturbations. Based on the Kronecker product, a necessary and sufficient condition for the robust α -stability problem is presented by transforming such a problem into checking the nonsingularity of a class of uncertain matrices. Then, a closed form for the maximal perturbation bounds for preserving the α -stability is given. Finally, illustrative examples are given to show that our results are effective and less conservative than the results obtained by other researchers.
Keywords :
Coefficient perturbation , Second-order system , Perturbation bound , robust stability
Journal title :
Automatica
Journal title :
Automatica