AbstractThis paper presents a Walsh function approach to the minimum energy control of linear systems with time delay satisfying given conditions on the terminal state. Walsh operational matrices for integration, delay and advance1are employed in solving the related state and costate equations containing terms with advanced and delayed arguments. The technique of extension of the solution with a single term Walsh series2is adapted to the case of differential equations with delay and advance terms, leading to an enormous reduction in computational effort. The results may be computed in two forms, piecewise constant or discrete, satisfying both the energy and terminal conditions.
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