Computational methods for modelling of nonlinear systems [electronic resource]

• 作者： Torokhti, A. (Anatoli)
• 其他作者：
  • Howlett, P. G. (Philip G.), 1944-
  • ScienceDirect (Online service)
• 其他題名：
  • Computational methods for modeling of nonlinear systems
• 出版： Amsterdam ;Boston : Elsevier
• 版本：1st ed.
• 叢書名： Mathematics in science and engineeringv. 212
• 主題： Nonlinear systems--Mathematical models , Niet-lineaire systemen. , Optimaliseren. , Electronic books.
• ISBN： 9780444530448 、 0444530444
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: Includes bibliographical references (p. 379-393) and index. Preface -- -- Contents -- -- 1 Overview -- -- I Methods of Operator Approximation in System Modelling -- -- 2 Nonlinear Operator Approximation with Preassigned Accuracy -- -- 2.1 Introduction -- -- 2.2 Generic formulation of the problem -- -- 2.3 Operator approximation in space C([0; 1]): -- -- 2.4 Operator approximation in Banach spaces by polynomial operators -- -- 2.5 Approximation on compact sets in topological vector spaces -- -- 2.6 Approximation on noncompact sets in Hilbert spaces -- -- 2.7 Special results for maps into Banach spaces -- -- 2.8 Concluding remarks -- -- 3 Interpolation of Nonlinear Operators 65 -- -- 3.1 Introduction -- -- 3.2 Lagrange interpolation in Banach spaces -- -- 3.3 Weak interpolation of nonlinear operators -- -- 3.4 Some related results -- -- 3.5 Concluding remarks -- -- 4 Realistic Operators and their Approximation -- -- 4.1 Introduction -- -- 4.2 Formalization of concepts related to description of real-world objects -- -- 4.3 Approximation of R
• More
• 摘要註: In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering.
• 讀者標籤：

  需登入
• 引用連結：

  Copy Link
• 目前引用數
• Share: