Reachability and Controllablity of Linear Time Invariant Dynamical System

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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

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