東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Orthonormal rational functions via t...

Zhao, Xiadong.

Linked to FindBook

Google Book

Amazon

博客來

Orthonormal rational functions via the jury table and their applications.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Orthonormal rational functions via the jury table and their applications./
Author:	Zhao, Xiadong.
Description:	130 p.
Notes:	Source: Dissertation Abstracts International, Volume: 65-09, Section: B, page: 4758.
Contained By:	Dissertation Abstracts International65-09B.
Subject:	Engineering, Electronics and Electrical. -
Online resource:	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.
LDR:02319nam 2200337 a 45 001 945757
005 20110523
008 110523s2004 ||||||||||||||||| ||eng d
020 $a 9780496072767
035 $a (UMI)AAI3148596
035 $a AAI3148596
040 $a UMI $c UMI
100 1 $a Zhao, Xiadong. $3 1269170
245 1 0 $a Orthonormal rational functions via the jury table and their applications.
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
690 $a 0405
690 $a 0544
690 $a 0790
710 2 $a Hong Kong University of Science and Technology (Hong Kong). $3 1022235
773 0 $t Dissertation Abstracts International $g 65-09B.
790 $a 1223
790 1 0 $a Qiu, Li, $e advisor
791 $a Ph.D.
792 $a 2004
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3148596