@article{f96de771c2aa4f3e99d009b412b6cc6e,

title = "A complex projection scheme and applications",

abstract = "In this paper, an extended projection method in the complex number field is presented. We consider two classes of complex linear matrix inequalities and then derive the corresponding projection operators. Applications to the control system with pole assignment problem and the robust stability of linear descriptor systems, which are described in complex linear matrix inequalities, are given. Based on the numerical algorithms, some examples are illustrated for the merits of the proposed method.",

keywords = "Descriptor system, Hermitian matrix, Linear matrix inequality (LMI), Projection method, Stability region",

author = "Huang, {Chih Peng} and Juang, {Yau Tarng} and Lin, {Hui Ling}",

note = "Funding Information: In this paper, we first formulate two classes of complex LMI and extend the projection method \[4,5\] to complex number field. For feasible solutions of the described complex LMI, some useful projection operators are further derived. Applications are demonstrated by the pole-assignment problems (e.g., \[6-9\]) and the robust stability of descriptor systems (e.g., \[10-13\]) based on the present criteria associated with numerical projection algorithms. The basic idea behind these techniques is that for a class of convex and closed sets, the sequentially alternating projections onto these sets converges to a point in the intersection of the family \[14,15\]. To The work was partially supported by the National Science Council of the Republic of China under the contract NSC 91-2213-E008-024. *Author to whom all correspondence should be addressed.",

year = "2005",

month = feb,

doi = "10.1016/j.camwa.2004.11.004",

language = "???core.languages.en_GB???",

volume = "49",

pages = "515--524",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

number = "4",

}