Studies on modeling and parameter estimation of diffusion systems and their applications

書誌事項

タイトル
Studies on modeling and parameter estimation of diffusion systems and their applications
タイトル別名
  • 拡散システムのモデリングとパラメータ推定およびその応用に関する研究
著者
亀島, 鉱二
著者別名
  • カメジマ, コウジ
学位授与大学
京都大学
取得学位
工学博士
学位授与番号
乙第7410号
学位授与年月日
1991-01-23

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博士論文

目次

論文目録 / (0001.jp2)

Tableofcontents / p3 (0006.jp2)

Acknowledgments / p1 (0005.jp2)

Abstract / p2 (0006.jp2)

Chapter I Introduction / p1 (0008.jp2)

1.1 Historical background / p2 (0009.jp2)

1.2 Statement of problems / p4 (0010.jp2)

Chapter II Mathematical Preliminaries / p9 (0012.jp2)

2.1 Symbolic conventions and basic definitions / p10 (0013.jp2)

2.2 Vector valued stochastic processes / p11 (0013.jp2)

2.3 Differential equations in Hilbert spaces / p14 (0015.jp2)

2.4 Fixed point theory / p16 (0016.jp2)

Chapter III Mathematical Description of Stochastic Diffusion Systems / p19 (0017.jp2)

3.1 Introduction / p20 (0018.jp2)

3.2 Mathematical model for stochastic diffusion systems / p30 (0023.jp2)

3.3 Mathematical description of distributed white noise / p33 (0024.jp2)

3.4 Existence and uniqueness theorem for stochastic evolution equation / p38 (0027.jp2)

3.5 Concluding remarks / p50 (0033.jp2)

Chapter IV Fixed Point Approach to Parameter Estimation Problems / p51 (0033.jp2)

4.1 Introduction / p52 (0034.jp2)

4.2 Fixed point problem associated with parameter estimation procedure / p58 (0037.jp2)

4.3 Definitions and main results. / p62 (0039.jp2)

4.4 Parameter dependence of stochastic differential equations / p67 (0041.jp2)

4.5 Proof of theorems / p71 (0043.jp2)

4.6 Continuation method for fixed point calculation / p74 (0045.jp2)

4.7 Concluding remarks / p78 (0047.jp2)

Chapter V Estimation of Air Conditioning Heat Load / p79 (0047.jp2)

5.1 Introduction / p80 (0048.jp2)

5.2 Building heat load calculus / p84 (0050.jp2)

5.3 A mathematical model for heat load dynamics / p96 (0056.jp2)

5.4 Adaptive estimation of heat load / p97 (0056.jp2)

5.5 Optimization of chilled water temperature / p98 (0057.jp2)

5.6 Discussions / p106 (0061.jp2)

5.7 Concluding remarks / p107 (0061.jp2)

Chapter VI Identification of Ambient Temperature Dynamics / p109 (0062.jp2)

6.1 Introduction / p110 (0063.jp2)

6.2 Local climate modeling / p113 (0064.jp2)

6.3 Parameter estimation algorithm / p122 (0069.jp2)

6.4 Finite dimensional modeling / p124 (0070.jp2)

6.5 Simulation results / p128 (0072.jp2)

6.6 Discussions / p133 (0074.jp2)

6.7 Concluding remarks / p135 (0075.jp2)

Chapter VII Pattern Detection in Random Image Fields / p137 (0076.jp2)

7.1 Introduction / p138 (0077.jp2)

7.2 Environment feature detection problem / p141 (0078.jp2)

7.3 Recursive algorithm for 3D pattern detection / p143 (0079.jp2)

7.4 Application to mobile robot navigation / p150 (0083.jp2)

7.5 Discussions / p161 (0090.jp2)

7.6 Concluding remarks / p164 (0092.jp2)

Chapter VIII Conclusion / p165 (0092.jp2)

References / p167 (0093.jp2)

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