This book offers a comprehensive treatment of the theory of periodic systems, including the problems of filtering and control. It covers an array of topics, presenting an overview of the field and focusing on discrete-time signals and systems.

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.

Detailed and coherent presentation of techniques applicable to areas as disparate as chemical plant control and market prediction Presents 30 years' research by two of the leading lights in control and filtering of periodic systems in one self-contained volume Makes the concept of "periodic control" accessible to readers with a spectrum of experience while maintaining mathematical rigour Includes supplementary material: sn.pub/extras

Klappentext

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.

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