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| 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：1 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.
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