計測自動制御学会中部支部　

第２回「制御理論ワーキングセミナー」

主催：計測自動制御学会中部支部

　下記のとおり，セミナーを開催いたします．関心をおもちの方は，どなたでもご自由にご参加下さい．

日　　時：2007年11月7日（水）　15：00〜16：30

会　　場：名古屋大学　工学部　２号館２階２２２講義室

講　　師：Professer Harry L. Trentelman

University of Groningen

The Netherlands

http://www.math.rug.nl/~trentelman/

題　　目：Algorithms for multidimensional spectral factorization and sum of squares

概　　要：

In this talk, algorithms are presented for the problems of spectral factorization and sum of squares of polynomial matrices with n indeterminates, and a natural interpretation of the tools employed in the algorithms is given using ideas from the theory of lossless and dissipative systems. These algorithms are based on the calculus of 2n-variable polynomial matrices and their associated quadratic differential forms, and share the common feature that the problems are lifted from the original n-variable polynomial context to a 2n-variable polynomial context. This allows to reduce the spectral factorization problem and the sum of squares problem to linear matrix inequalities (LMI's), to the feasibility of a semialgebraic set or to a linear eigenvalue problem.

問合せ先： 名古屋工業大学極微デバイス機能システム研究センター

山田　学／電話(052) 735-5545，FAX(052) 735-5546

E-mail : yamada.manabu@nitech.ac.jp