New approach to the optimal control of delay systems via Chebyshev series (Q1090298)

Based on the Chebyshev series, a directly computational formulation in matrix form is established for evaluating the optimal control and trajectory of time-delay systems. In a comparison with the previous work ``see the authors, Int. J. Control 41, 1221-1234 (1985; Zbl 0562.93034)], the formulation is shown to be more straightforward and convenient for digital computation. Thus the difficulty in obtaining a solution of the two-point boundary-value problem with both delayed and advanced arguments is circumvented. An example compares the actual solution with the one obtained using the technique of this paper.