On the controllability of a class of discrete distributed systems
We consider a class of linear discrete-time systems controlled by a continuous time input. Given a desired final state, we investigate the optimal control which steers the system, with a minimal cost, from a given initial state to the given final one. We consider both discrete distributed systems and finite dimensional ones. We use a method similar to the Hilbert Uniqueness Method (HUM) to determine the control, and the Galerkin method to approximate it. We also give an example to illustrate our approach.
Keywords: Discrete linear systems, Hilbert Uniqueness Method, Optimal control, Galerkin method
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ABOUT THE AUTHORS
Ahmed Abdelhak
Department of mathematics, University Ibn Tofail, faculty of sciences, B.P 133, Kénitra, Morroco.
Ahmed Abdelhak
Department of mathematics, University Ibn Tofail, faculty of sciences, B.P 133, Kénitra, Morroco.
Ahmed Abdelhak
Department of mathematics, University Ibn Tofail, faculty of sciences, B.P 133, Kénitra, Morroco.
Ahmed Abdelhak
Department of mathematics, University Ibn Tofail, faculty of sciences, B.P 133, Kénitra, Morroco.
