Reachability and Controllablity of Linear Time Invariant Dynamical System
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Date
2017-06
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Addis Ababa University
Abstract
The linear time invariant discrete-continuous systems, studied in this work, contain the
two coupled subsystems: subsystem with continuous-time dynamics and subsystem with
discrete-time dynamics. Continuous dynamics is described by ordinary linear differential
equations, and a discrete one is described by difference equations for system's state jumps
in prescribed time moments. For this class of models the reachability and the controllability
properties are investigated, concerned with the following questions: Is it possible to steer
the system , by suitable choice of the input function, from one particular state to another
particular state? How long does the transition take? Can we and a concrete formula for an
input function that force the system to go from one particular state to another particular
state? As well controls are found for such systems states transition. Those solutions were
applied for dynamical systems control design.
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Reachability and Controllablity of Linear