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Output controllability and optimal output control of positive fractional order linear discrete system with multiple delays in state, input and output
Mouhcine Naim,Fouad Lahmidi,Abdelwahed Namir
Keywords:Fractional order, positive linear systems, output reachability, null output controllability, output controllability, optimal output control.
Abstract:
      The article concerns output controllability and optimal output control of positive fractional order discrete linear systems with multiple delays in state, input and output. Necessary and sufficient conditions for output reachability (output controllability from zero initial conditions) and null output controllability (output controllability to zero final output) are given and proven. We also prove that the positive system is output controllable if it is output reachable and null output controllable. Sufficient conditions for the solvability of the optimal output control problem are given. Numerical examples are presented to illustrate the theoretical results.