Periodic Systems : Filtering and Control (Communications and Control Engineering)

Bittanti, Sergio/ Colaneri, Patrizio

Springer（2010/10発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 444 p.
• 言語 ENG
• 商品コード 9781849968058
• DDC分類 621

Full Description

Periodic Systems gives a comprehensive treatment of the theory of periodic systems, including the problems of filtering and control. Topics covered include: basic issues, including Floquet theory, controllability and observability, canonical decomposition, system norms and Lyapunov and robust stability; the problem of state estimation in its various forms, filtering, prediction and smoothing; control design methods, particularly optimal and robust control. The text focuses on discrete-time signals and systems; however, an overview of the entire field, including the continuous-time case, is provided in the first chapter. The authors' presentation of the theory and results is mathematically rigorous while maintaining a readable style, avoiding excessive formalism. This makes the book accessible to graduate students and researchers from the fields of engineering, physics, economics and mathematics.

Contents

Linear Periodic Systems.- Floquet Theory and Stability.- Structural Properties.- Periodic Transfer Function and BIBO Stability.- Time-invariant Reformulations.- State-Space Realization.- Zeros, Poles, and the Delay Structure.- Norms of Periodic Systems.- Factorization and Parametrization.- Stochastic Periodic Systems.- Filtering and Deconvolution.- Stabilization and Control.