A generalization of Mikhailov's criterion with applications Conference Paper

abstract

• Mikhailov's criterion states that the hodograph /spl delta/(j/spl omega/) of a real, n/sup th/ degree, Hurwitz stable polynomial /spl delta/(s) turns strictly counterclockwise and goes through n quadrants as /spl omega/ runs from 0 to +/spl infin/. In this paper we first give an analytical version of this criterion and then extend this analytical condition to the case of not necessarily Hurwitz polynomials. This generalization is shown to "linearize" some control synthesis problems in the sense that the set of stabilizing controllers is obtained as the solution set of a number of linear equations. 2000 American Automatic Control Council.

name of conference

• Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334)

authors

• Bhattacharyya, S

published proceedings

• PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6

author list (cited authors)

• Keel, L. H., & Bhattacharyya, S. P.

citation count

• 4

complete list of authors

• Keel, LH||Bhattacharyya, SP

publication date

• January 2000

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• Proceedings of the ... American Control Conference. American Control Conference  Journal

Digital Object Identifier (DOI)

• 10.1109/acc.2000.877035

International Standard Book Number (ISBN) 10

• 0-7803-5520-2

start page

• 4311

end page

• 4315

volume

• 6

URL

• http%3A%2F%2Fdx.doi.org%2F10.1109%2Facc.2000.877035