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

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Bibliographic Information

Title
Studies on modeling and parameter estimation of diffusion systems and their applications
Other Title
  • 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
  • カクサン システム ノ モデリング ト パラメータ スイテイ オヨビ ソノ オウヨウ ニ カンスル ケンキュウ
Author
亀島, 鉱二
Alias Name
  • カメジマ, コウジ
University
京都大学
Types of degree
工学博士
Grant ID
乙第7410号
Degree year
1991-01-23

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Description

博士論文

資料形態 : テキストデータ プレーンテキスト
コレクション : 国立国会図書館デジタルコレクション > デジタル化資料 > 博士論文
博士論文

Table of Contents

論文目録

Tableofcontents

Acknowledgments

Abstract

Chapter I Introduction

1.1 Historical background

1.2 Statement of problems

Chapter II Mathematical Preliminaries

2.1 Symbolic conventions and basic definitions

2.2 Vector valued stochastic processes

2.3 Differential equations in Hilbert spaces

2.4 Fixed point theory

Chapter III Mathematical Description of Stochastic Diffusion Systems

3.1 Introduction

3.2 Mathematical model for stochastic diffusion systems

3.3 Mathematical description of distributed white noise

3.4 Existence and uniqueness theorem for stochastic evolution equation

3.5 Concluding remarks

Chapter IV Fixed Point Approach to Parameter Estimation Problems

4.1 Introduction

4.2 Fixed point problem associated with parameter estimation procedure

4.3 Definitions and main results.

4.4 Parameter dependence of stochastic differential equations

4.5 Proof of theorems

4.6 Continuation method for fixed point calculation

4.7 Concluding remarks

Chapter V Estimation of Air Conditioning Heat Load

5.1 Introduction

5.2 Building heat load calculus

5.3 A mathematical model for heat load dynamics

5.4 Adaptive estimation of heat load

5.5 Optimization of chilled water temperature

5.6 Discussions

5.7 Concluding remarks

Chapter VI Identification of Ambient Temperature Dynamics

6.1 Introduction

6.2 Local climate modeling

6.3 Parameter estimation algorithm

6.4 Finite dimensional modeling

6.5 Simulation results

6.6 Discussions

6.7 Concluding remarks

Chapter VII Pattern Detection in Random Image Fields

7.1 Introduction

7.2 Environment feature detection problem

7.3 Recursive algorithm for 3D pattern detection

7.4 Application to mobile robot navigation

7.5 Discussions

7.6 Concluding remarks

Chapter VIII Conclusion

References

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