| 期刊全称 | A State Space Approach to Canonical Factorization with Applications | | 影响因子2023 | Harm Bart,Marinus A. Kaashoek,André C. M. Ran | | 视频video | | | 发行地址 | The state space factorization method is systematically used and developed further for various classes of matrix and operator functions.Emphasis is put on canonical factorization problems, including sp | | 学科分类 | Operator Theory: Advances and Applications | | 图书封面 |  | | 影响因子 | The present book deals with canonical factorization problems for di?erent classes of matrix and operator functions. Such problems appear in various areas of ma- ematics and its applications. The functions we consider havein common that they appear in the state space form or can be represented in such a form. The main results are all expressed in terms of the matrices or operators appearing in the state space representation. This includes necessary and su?cient conditions for canonical factorizations to exist and explicit formulas for the corresponding f- tors. Also, in the applications the entries in the state space representation play a crucial role. Thetheorydevelopedinthebookisbasedonageometricapproachwhichhas its origins in di?erent ?elds. One of the initial steps can be found in mathematical systems theory and electrical network theory, where a cascade decomposition of an input-output system or a network is related to a factorization of the associated transfer function. Canonical factorization has a long and interesting history which starts in the theory of convolution equations. Solving Wiener-Hopf integral equations is closely related to canonical factorization. The problem | | Pindex | Book 2010 |
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发表于 2025-3-21 17:28:39
