Advanced Mathematical Tools for Automatic Control Engineers: Volume 2: Stochastic Systems (Hardcover)
暫譯: 自動控制工程師的高級數學工具:第二卷:隨機系統 (精裝版)
Poznyak, Alex
- 出版商: Elsevier Science
- 出版日期: 2009-09-01
- 售價: $1,400
- 貴賓價: 9.5 折 $1,330
- 語言: 英文
- 頁數: 538
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 0080446736
- ISBN-13: 9780080446738
下單後立即進貨 (約5~7天)
商品描述
Advanced Mathematical Tools for Automatic Control Engineers, Volume 2: Stochastic Techniques provides comprehensive discussions on statistical tools for control engineers.
The book is divided into four main parts. Part I discusses the fundamentals of probability theory, covering probability spaces, random variables, mathematical expectation, inequalities, and characteristic functions. Part II addresses discrete time processes, including the concepts of random sequences, martingales, and limit theorems. Part III covers continuous time stochastic processes, namely Markov processes, stochastic integrals, and stochastic differential equations. Part IV presents applications of stochastic techniques for dynamic models and filtering, prediction, and smoothing problems. It also discusses the stochastic approximation method and the robust stochastic maximum principle.
商品描述(中文翻譯)
《自動控制工程師的進階數學工具,第二卷:隨機技術》提供了控制工程師所需的統計工具的全面討論。
本書分為四個主要部分。第一部分討論了概率論的基本原理,涵蓋了概率空間、隨機變數、數學期望、不等式和特徵函數。第二部分涉及離散時間過程,包括隨機序列、馬丁蓋爾和極限定理的概念。第三部分涵蓋了連續時間隨機過程,即馬可夫過程、隨機積分和隨機微分方程。第四部分介紹了隨機技術在動態模型、過濾、預測和平滑問題中的應用,並討論了隨機逼近法和穩健隨機最大原則。