A transformation for necessary optimality conditions for systems with polynomial nonlinearities |
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| Authors: | Shamaly A. Christensen G. El-Hawary M. |
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| Affiliation: | University of Alberta, Edmonton, Alberta, Canada; |
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| Abstract: | This work shows a new formulation means to obtain the optimal control for systems having polynomial nonlinearities by using functional analytic methods. The polynomic system is reduced to a quadratic form by introducing a set of pseudostate variables and the structure of the system is characterized by a set of matrices. A new set of optimizing equations is obtained and the necessary and sufficient conditions are met by the positive definiteness requirement on the system matrix. |
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