Lecture Notes in Control and Information Sciences : Lecture Notes in Control And Iinformation Sciences - Z. Bubnicki

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Lecture Notes in Control and Information Sciences

By: Z. Bubnicki

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Paperback | 11 April 2002

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152 Pages

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23.5 x 15.24 x 1.27

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The ideas of uncertain variables based on uncertain logics have been introduced and developed for a wide class of uncertain systems. The purpose of this mo- graph is to present basic concepts, definitions and results concerning the uncertain variables and their applications to analysis and decision problems in uncertain systems described by traditional mathematical models and by knowledge rep- sentations. I hope that the book can be useful for graduate students, researchers and all readers working in the field of control and information science. Especially for those interested in the problems of uncertain decision support systems and unc- tain control systems. I wish to express my gratitude to my co-workers from the Institute of Control and Systems Engineering of Wroclaw University of Technology, who assisted in the preparation of the manuscript. My special thanks go to Dr L.Siwek for the valuable remarks and for his work concerning the formatting of the text.

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Uncertain Logics and Variables	p. 1
Uncertain Logic	p. 1
Other Versions of Uncertain Logic	p. 5
Uncertain Variables	p. 9
Additional Description of Uncertain Variables	p. 12
Analysis and Decision Making for Static Plants	p. 17
Analysis Problem for a Functional Plant	p. 17
Decision Making Problem for a Functional Plant	p. 18
External Disturbances	p. 20
Nonparametric Uncertainty	p. 25
Relational Systems	p. 31
Relational Knowledge Representation	p. 31
Analysis and Decision Making for Relational Plants	p. 33
Determinization	p. 39
Analysis for Relational Plants with Uncertain Parameters	p. 41
Decision Making for Relational Plants with Uncertain Parameters	p. 46
Computational Aspects	p. 50
Systems with Logical Knowledge Representation	p. 57
Logical Knowledge Representation	p. 57
Analysis and Decision Making Problems	p. 59
Logic-Algebraic Method	p. 61
Analysis and Decision Making for the Plant with Uncertain Parameters	p. 64
Uncertain Logical Decision Algorithm	p. 66
Dynamical Systems	p. 69
Relational Knowledge Representation	p. 69
Analysis and Decision Making for the Dynamical Plants with Uncertain Parameters	p. 74
Closed-Loop Control System. Uncertain Controller	p. 80
Examples	p. 81
Stability of Dynamical Systems with Uncertain Parameters	p. 84
Comparison, Analogies and Generalisation	p. 91
Comparison with Random Variables and Fuzzy Numbers	p. 91
Application of Random Variables	p. 95
Application of Fuzzy Numbers	p. 96
Generalisation. Soft Variables	p. 103
Special and Related Problems	p. 109
Pattern Recognition	p. 109
Control of the Complex of Operations	p. 116
Descriptive and Prescriptive Approaches	p. 119
Complex Uncertain System	p. 121
Learning System	p. 124
Index	p. 129
References	p. 131
Table of Contents provided by Publisher. All Rights Reserved.

Lecture Notes in Control and Information Sciences

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