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Orthonormal rational functions via t...

Zhao, Xiadong.

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Orthonormal rational functions via the jury table and their applications.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Orthonormal rational functions via the jury table and their applications./
作者:	Zhao, Xiadong.
面頁冊數:	130 p.
附註:	Source: Dissertation Abstracts International, Volume: 65-09, Section: B, page: 4758.
Contained By:	Dissertation Abstracts International65-09B.
標題:	Engineering, Electronics and Electrical. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3148596
ISBN:	9780496072767

Orthonormal rational functions via the jury table and their applications.
Zhao, Xiadong.

Orthonormal rational functions via the jury table and their applications. - 130 p.

Source: Dissertation Abstracts International, Volume: 65-09, Section: B, page: 4758.

Thesis (Ph.D.)--Hong Kong University of Science and Technology (Hong Kong), 2004.

These orthonormal functions can be used for many other purposes. We first use them to calculate the H 2 norm of a stable system.

ISBN: 9780496072767Subjects--Topical Terms:

626636
Engineering, Electronics and Electrical.

Orthonormal rational functions via the jury table and their applications.
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300 $a 130 p.
500 $a Source: Dissertation Abstracts International, Volume: 65-09, Section: B, page: 4758.
500 $a Supervisor: Li Qiu.
502 $a Thesis (Ph.D.)--Hong Kong University of Science and Technology (Hong Kong), 2004.
520 $a These orthonormal functions can be used for many other purposes. We first use them to calculate the H 2 norm of a stable system.
520 $a Various orthogonal functions play important roles in science and engineering. In this thesis, we focus on orthonormal rational functions and their applications in control theory.
520 $a Jury table is a tool in the classical discrete-time control theory used to test the stability of a polynomial. The Jury table can be used to construct an orthonormal basis in the space of strictly proper rational functions with a common denominator. We show that these functions are exactly the same as those constructed from the Gram-Schmidt orthonormalization of the standard basis. Relations between these functions and balanced realization of inner function are also given.
520 $a Hankel operator is studied and two different methods to find the matrix representation under the orthonormal basis are given. Applying singular value decomposition on this matrix, we study the Hankel singular values and the Schmidt pairs of the Hankel operator.
520 $a Using the compressed Hankel matrix, we solve the optimal and suboptimal Nehari problems. A simple and direct polynomial solution is also given. We then get the solutions to the optimal and suboptimal Hankel norm approximation problem. Finally, we study the robust stabilization problem.
590 $a School code: 1223.
650 4 $a Engineering, Electronics and Electrical. $3 626636
650 4 $a Engineering, System Science. $3 1018128
650 4 $a Mathematics. $3 515831
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710 2 $a Hong Kong University of Science and Technology (Hong Kong). $3 1022235
773 0 $t Dissertation Abstracts International $g 65-09B.
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790 1 0 $a Qiu, Li, $e advisor
791 $a Ph.D.
792 $a 2004
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