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.
Periodic Systems gives a comprehensive treatment of the theory
of time-varying dynamical systems with periodic coefficients,
including the problems of filtering and control.
Topics covered include:
a [ basic issues, including Floquet theory, controllability and
observability, canonical decomposition, system norms and Lyapunov
and robust stability;
a [ the problem of state estimation in its various forms,
filtering, prediction and smoothing;
a [ 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 authorsa (TM)
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.
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