Reachability And Controllablity Of Linear Time Invariant Dynamical System

The linear time invariant discrete-continuous systems, studied in this work, contain therntwo coupled subsystems: subsystem with continuous-time dynamics and subsystem withrndiscrete-time dynamics. Continuous dynamics is described by ordinary linear differentialrnequations, and a discrete one is described by difference equations for system's state jumpsrnin prescribed time moments. For this class of models the reachability and the controllabilityrnproperties are investigated, concerned with the following questions: Is it possible to steerrnthe system , by suitable choice of the input function, from one particular state to anotherrnparticular state? How long does the transition take? Can we and a concrete formula for anrninput function that force the system to go from one particular state to another particularrnstate? As well controls are found for such systems states transition. Those solutions werernapplied for dynamical systems control design.

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