Sets and Stability Domains: Time-Varying Nonlinear Systems
暫譯: 集合與穩定域：時變非線性系統

Gruyitch, Lyubomir T.

Sets and Stability Domains: Time-Varying Nonlinear Systems
  • 出版商: CRC
  • 出版日期: 2026-10-28
  • 售價: $5,080
  • 貴賓價: 9.5 折 $4,826
  • 語言: 英文
  • 頁數: 230
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1041251440
  • ISBN-13: 9781041251446
  • 相關分類: 控制系統 Control-systems、動力學 Dynamics

    • 海外代購書籍(需單獨結帳)

商品描述

The book establishes a unified stability theory for general time-varying nonlinear systems, based on the consistent stability methodology. This theoretical work broadens and generalizes stability theory beyond the existing Lyapunov stability framework, permitting the dependence of stability properties on the initial instant of the system. The book focuses on the stability domains of positive invariant sets, which can include equilibrium states, limit cycles, or any positive invariant set of the system.

  1. Contributes new concepts, definitions of sets and system features
  2. Aims to open new directions for research in the stability theory as an essential introduction to the tracking theory and enables new various engineering applications.
  3. Includes time-varying and nonlinear nature of the systems which ensures the generality of the concepts, definitions, conditions and criteria

This book is aimed towards professors, researchers, engineers and advanced students in mathematics, physics, dynamical systems science, control science and engineering.

商品描述(中文翻譯)

本書以一致穩定性（consistent stability）方法論為基礎，為一般時變非線性系統建立統一的穩定性理論。這項理論工作拓展並概括化了現有的 Lyapunov 穩定性架構，使穩定性質可以依賴系統的初始時刻。本書著重探討正不變集合（positive invariant sets）的穩定域；這些集合可以包含平衡狀態、極限循環，或系統中的任何正不變集合。

• 提出新的概念，以及集合與系統特徵的定義
• 旨在為穩定性理論的研究開啟新的方向，作為追蹤理論（tracking theory）的重要導論，並促成各種新的工程應用
• 納入系統的時變與非線性特性，確保相關概念、定義、條件與判準具備一般性

本書適合數學、物理學、動力系統科學、控制科學與控制工程領域的教授、研究人員、工程師及高階學生閱讀。

作者簡介

Mr. Lyubomir T. Gruyitch is Certified Mechanical Engineer (Dipl. M. Eng.), Master of Electrical Engineering Sciences (M. E. E. Sc.), and Doctor of Engineering Sciences (D. Sc.) (All with the University of Belgrade, Serbia). He started to work at the Faculty of Mechanical Engineering (FME) in Belgrade as Instructor (1964), continued as Assistant (1964), Assistant Professor (1974), Associate Professor (1979) and (Full) Professor (1992); in USA as visiting Research associate (University of Santa Clara, 1971), as invited Visiting Professor (Notre Dame University, 1988/1989), as elected Visiting Professor (Louisiana State University, 1989/1990). He became AЕCI Professor in Durban, South Africa (University of Natal, 1992), and in France as Professor of French Universities (Ecole Nationale d`Ingénieures, 1993), University of Technology Belfort-Montbéliard 1999 - 2007).

作者簡介(中文翻譯)

Lyubomir T. Gruyitch 博士為認證機械工程師（Dipl. M. Eng.）、電機工程科學碩士（M. E. E. Sc.）及工程科學博士（D. Sc.）；上述學位皆取得自塞爾維亞貝爾格勒大學。

他於 1964 年開始在貝爾格勒大學機械工程學院（Faculty of Mechanical Engineering, FME）任教，歷任講師（1964）、助理（1964）、助理教授（1974）、副教授（1979）及（正）教授（1992）。在美國期間，他曾任 Santa Clara University 訪問研究助理（1971）、Notre Dame University 特聘客座教授（1988／1989），以及 Louisiana State University 遴選客座教授（1989／1990）。

1992 年，他成為南非 Durban 的 AЕCI 教授（University of Natal）；在法國則先後擔任法國大學教授（École Nationale d’Ingénieurs，1993），以及 University of Technology Belfort-Montbéliard 教授（1999–2007）。

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