We get symbolic and numeric solutions developing a MAPLE® program which uses the initial velocity on the state variable of a wave equation as control function. Solution of this problem implies the minimization at the final time of the distance measured in a suitable norm between the solution of the problem and a given target. An iterative algorithm is constructed to compute the required optimal control as the limit of a suitable subsequence of controls. Results are tested with some numerical examples.
Symbolic and Numeric Computation of Optimal Initial Velocity in a Wave Equation
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received August 3, 2011; final manuscript received April 13, 2012; published online August 31, 2012. Assoc. Editor: Carmen M. Lilley.
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Saraç, Y. (August 31, 2012). "Symbolic and Numeric Computation of Optimal Initial Velocity in a Wave Equation." ASME. J. Comput. Nonlinear Dynam. January 2013; 8(1): 011018. https://doi.org/10.1115/1.4006786
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