Abstract
A version of Balakrishnan's ε-technique is developed using an integrated description of the system equations. The associated necessary conditions for optimality of theintegral ε-technique appear as integral equations and lead to computational algorithms which are largely independent of the penalty function characteristics of the ε-technique. The merits and shortcomings of this approach are discussed, alternative solution methods are proposed, and some computational results are presented.
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Communicated by A. V. Balakrishnan
The research leading to this paper was supported by SEIFSA (Steel and Engineering Federation of South Africa) and by AFOSR Grant No. 68-1408, Applied Mathematics Division.
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Frick, P.A. An integral formulation of the ɛ-problem and a new computational approach to control function optimization. J Optim Theory Appl 13, 553–581 (1974). https://doi.org/10.1007/BF00933045
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DOI: https://doi.org/10.1007/BF00933045