buckets
periodic systems filtering and control
p the advantages of periodic control have been known since humanity learned to cultivate crops in rotation to increase production . in more recent times it has been recognized that some industrial and technological systems also work or function better in a periodic fashion . moreover with periodic control laws it has been possible to solve problems for which no time invariant solution exists . periodic models are also able to describe the intrinsic periodicity in many natural phenomena and time series . p periodic systems gives a comprehensive treatment of the theory of time varying dynamical systems with periodic coefficients including the problems of filtering and control . p topics covered include p basic issues including floquet theory controllability and observability canonical decomposition system norms and lyapunov and robust stability ; p the problem of state estimation in its various forms filtering prediction and smoothing ; p control design methods particularly optimal and robust control . p 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 .