Edition |
1st ed. |
Description |
1 online resource (xxix, 538 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
Bibliography |
Includes bibliographical references (pages 529-533) and index. |
Summary |
The second volume of this work continues the and approach of the first volume, providing mathematical tools for the control engineer and examining such topics as random variables and sequences, iterative logarithmic and large number laws, differential equations, stochastic measurements and optimization, discrete martingales and probability space. It includes proofs of all theorems and contains many examples with solutions. It is written for researchers, engineers and advanced students who wish to increase their familiarity with different topics of modern and classical mathematics related to system and automatic control theories. It also has applications to game theory, machine learning and intelligent systems. * Provides comprehensive theory of matrices, real, complex and functional analysis * Provides practical examples of modern optimization methods that can be effectively used in variety of real-world applications * Contains worked proofs of all theorems and propositions presented. |
Contents |
Preface; Introduction; Probability Space; Random Variables; Mathematical Expectation; Random Sequences; Conditional Mathematical Expectation; Discrete Martingales; Large Number Laws; Characteristic Functions and the Central Limit Theorem; Iterative Logarithmic Law; Stochastic Differential Equations; Wiener and Kalman Filtering; Parametric Identification under Stochastic Measurements; Stochastic Optimization; Finite Markov Chains, Discrete Events and Elements of Queering Theory. |
Note |
Print version record. |
Subject |
Automatic control -- Mathematics.
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Commande automatique -- Mathématiques.
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TECHNOLOGY & ENGINEERING -- Automation.
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TECHNOLOGY & ENGINEERING -- Robotics.
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Automatic control -- Mathematics
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Added Title |
Stochastic techniques |
Other Form: |
Print version: Poznyak, Alexander S. Advanced mathematical tools for automatic control engineers. Volume 2, Stochastic techniques. Oxford : Elsevier Science, 2009 9780080446738 (OCoLC)319208894 |
ISBN |
9780080914039 (electronic bk.) |
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0080914039 (electronic bk.) |
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9780080446738 |
Standard No. |
AU@ 000045385563 |
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CDX 11066166 |
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CHNEW 001009284 |
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DEBBG BV042314747 |
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DEBSZ 367758172 |
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GBVCP 803009577 |
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GBVCP 871532220 |
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NZ1 14232181 |
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UKMGB 017549239 |
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