研究生: |
李文靖 Wen-Jing Li |
---|---|
論文名稱: |
On the study of numerical methods for the computations of the estimations of the μ-norm upper bounds μ範數上界估計之數值方法之研究 |
指導教授: |
林文偉
Wen-Wei Lin |
口試委員: | |
學位類別: |
碩士 Master |
系所名稱: |
理學院 - 數學系 Department of Mathematics |
論文出版年: | 2006 |
畢業學年度: | 94 |
語文別: | 英文 |
論文頁數: | 19 |
中文關鍵詞: | μ-norm 、Bisection algorithm 、Quasi-Newton algorithm 、Broyden secant algorithm |
相關次數: | 點閱:3 下載:0 |
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For estimating upper bounds of μ-norm of several algorithms are introduced in [2]. Some numerical results for estimating the μ-norm upper bound of real transfer matrices are also listed. In this paper, these algorithms are modified for complex value cases. Some numerical experiments are illustrated.
[1] S. P. Boyd, L. Ghaoui, E. Feron, & V. Balakrishnan, Linear Matrix Inequalities in System and Control Theory. Philadelphia, SIAM, c1994.
[2] H. Z. Wang, Numerical Algorithms for Estimating Upper Bounds of μ-norm, master thesis, NCKU, 2004.
[3] B. N. Datta, Numerical Methods for Linear Control Systems Design and Analysis, Department of Mathematical Sciences, June 15, 2002.
[4] O. Toker, H. □zbay, On the Complexity of Purely Complex μComputation and Relate Problems in Multidimensional Systems. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, vol.43, no.3, p409-p414, March 1998.
[5] K. Zhou, J. C. Doyle, and K.Glover, Robust and Optimal Control. Prentice Hall, Upper Saddle River, New Jersey.