This monograph investigates the existence of higher order sliding
mode in discrete-time systems and propounds a new concept of
discrete-time higher order sliding mode. The authors propose a
definition of discrete-time higher order sliding mode and a control
law is designed by means of a concept for an uncertain linear-time
invariant system, as well as the behavior of the closed-loop system
is analyzed. Moreover, the book includes a thorough treatment of
the probabilistic and non-deterministic case, i.e. stochastic
discrete-time higher order sliding mode. The target audience
primarily comprises research experts in control theory but the book
may also be beneficial for graduate students alike.
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